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1056639168 = 26341315679
BaseRepresentation
bin111110111110110…
…000100011000000
32201122020211110000
4332332300203000
54130444423133
6252503240000
735120166444
oct7676604300
92648224400
101056639168
114a2499712
12255a49000
1313abab4a0
14a0492824
1562b6d413
hex3efb08c0

1056639168 has 140 divisors (see below), whose sum is σ = 3373363840. Its totient is φ = 325099008.

The previous prime is 1056639163. The next prime is 1056639173. The reversal of 1056639168 is 8619366501.

1056639168 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 639 + 1 + 6 + 8 = 666.

1056639168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1056639163) and next prime (1056639173).

It is a super-2 number, since 2×10566391682 = 2232972662703464448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056639163) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59553 + ... + 75231.

It is an arithmetic number, because the mean of its divisors is an integer number (24095456).

Almost surely, 21056639168 is an apocalyptic number.

1056639168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056639168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686681920).

1056639168 is an abundant number, since it is smaller than the sum of its proper divisors (2316724672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1056639168 is a wasteful number, since it uses less digits than its factorization.

1056639168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15716 (or 15697 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1056639168 is about 32505.9866486160. The cubic root of 1056639168 is about 1018.5340880182.

The spelling of 1056639168 in words is "one billion, fifty-six million, six hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 15679 16848 22464 31358 33696 47037 62716 67392 94074 125432 141111 188148 203827 250864 282222 376296 407654 423333 501728 564444 611481 752592 815308 846666 1003456 1128888 1222962 1269999 1505184 1630616 1693332 1834443 2257776 2445924 2539998 3010368 3261232 3386664 3668886 4515552 4891848 5079996 5503329 6522464 6773328 7337772 9031104 9783696 10159992 11006658 13044928 13546656 14675544 16509987 19567392 20319984 22013316 27093312 29351088 33019974 39134784 40639968 44026632 58702176 66039948 81279936 88053264 117404352 132079896 176106528 264159792 352213056 528319584 1056639168