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1014821368 = 2311471311873
BaseRepresentation
bin111100011111001…
…111000111111000
32121201120021012121
4330133033013320
54034243240433
6244411051024
734101560611
oct7437170770
92551507177
101014821368
11480927350
12243a40a74
13132329422
1498ac8c08
155e15cc2d
hex3c7cf1f8

1014821368 has 64 divisors (see below), whose sum is σ = 2137259520. Its totient is φ = 447782400.

The previous prime is 1014821351. The next prime is 1014821393. The reversal of 1014821368 is 8631284101.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540880 + ... + 542752.

It is an arithmetic number, because the mean of its divisors is an integer number (33394680).

Almost surely, 21014821368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014821368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068629760).

1014821368 is an abundant number, since it is smaller than the sum of its proper divisors (1122438152).

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

1014821368 is a wasteful number, since it uses less digits than its factorization.

1014821368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 1014821368 is about 31856.2610486542. The cubic root of 1014821368 is about 1004.9162469086.

The spelling of 1014821368 in words is "one billion, fourteen million, eight hundred twenty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 47 88 94 131 188 262 376 517 524 1034 1048 1441 1873 2068 2882 3746 4136 5764 6157 7492 11528 12314 14984 20603 24628 41206 49256 67727 82412 88031 135454 164824 176062 245363 270908 352124 490726 541816 704248 968341 981452 1936682 1962904 2698993 3873364 5397986 7746728 10795972 11532061 21591944 23064122 46128244 92256488 126852671 253705342 507410684 1014821368