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1054922336 = 25132972011
BaseRepresentation
bin111110111000001…
…101011001100000
32201112000121101122
4332320031121200
54130030003321
6252402351412
735066456216
oct7670153140
92645017348
101054922336
114a1526846
1225535b568
1313a729c00
14a0166cb6
156292e8ab
hex3ee0d660

1054922336 has 72 divisors (see below), whose sum is σ = 2273242104. Its totient is φ = 481628160.

The previous prime is 1054922321. The next prime is 1054922353. The reversal of 1054922336 is 6332294501.

1054922336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10549223362 = 2225722269983393792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054922296 and 1054922305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 523571 + ... + 525581.

It is an arithmetic number, because the mean of its divisors is an integer number (31572807).

Almost surely, 21054922336 is an apocalyptic number.

1054922336 is a gapful number since it is divisible by the number (16) 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 1054922336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136621052).

1054922336 is an abundant number, since it is smaller than the sum of its proper divisors (1218319768).

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

1054922336 is a wasteful number, since it uses less digits than its factorization.

1054922336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 1054922336 is about 32479.5679774224. The cubic root of 1054922336 is about 1017.9821494137.

The spelling of 1054922336 in words is "one billion, fifty-four million, nine hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 97 104 169 194 208 338 388 416 676 776 1261 1352 1552 2011 2522 2704 3104 4022 5044 5408 8044 10088 16088 16393 20176 26143 32176 32786 40352 52286 64352 65572 104572 131144 195067 209144 262288 339859 390134 418288 524576 679718 780268 836576 1359436 1560536 2535871 2718872 3121072 5071742 5437744 6242144 10143484 10875488 20286968 32966323 40573936 65932646 81147872 131865292 263730584 527461168 1054922336