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1064769152 = 2731536183
BaseRepresentation
bin111111011101110…
…001011010000000
32202012112212200112
4333131301122000
54140040103102
6253353410452
735246250146
oct7735613200
92665485615
101064769152
114a7041907
12258709a28
1313c796b25
14a15ab596
1563727252
hex3f771680

1064769152 has 128 divisors (see below), whose sum is σ = 2294853120. Its totient is φ = 491212800.

The previous prime is 1064769137. The next prime is 1064769197. The reversal of 1064769152 is 2519674601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10647691522 = 2267466694101598208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12828503 + ... + 12828585.

It is an arithmetic number, because the mean of its divisors is an integer number (17928540).

Almost surely, 21064769152 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 1064769152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147426560).

1064769152 is an abundant number, since it is smaller than the sum of its proper divisors (1230083968).

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

1064769152 is an equidigital number, since it uses as much as digits as its factorization.

1064769152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 1064769152 is about 32630.8006644029. The cubic root of 1064769152 is about 1021.1396821610.

The spelling of 1064769152 in words is "one billion, sixty-four million, seven hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 53 61 62 64 83 106 122 124 128 166 212 244 248 332 424 488 496 664 848 976 992 1328 1643 1696 1891 1952 1984 2573 2656 3233 3286 3392 3782 3904 3968 4399 5063 5146 5312 6466 6572 6784 7564 7808 8798 10126 10292 10624 12932 13144 15128 17596 20252 20584 25864 26288 30256 35192 40504 41168 51728 52576 60512 70384 81008 82336 100223 103456 105152 121024 136369 140768 156953 162016 164672 200446 206912 210304 242048 268339 272738 281536 313906 324032 329344 400892 413824 536678 545476 563072 627812 648064 801784 1073356 1090952 1255624 1603568 2146712 2181904 2511248 3207136 4293424 4363808 5022496 6414272 8318509 8586848 8727616 10044992 12828544 16637018 17173696 17455232 20089984 33274036 34347392 66548072 133096144 266192288 532384576 1064769152