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1060412672 = 28111721303
BaseRepresentation
bin111111001101001…
…001110100000000
32201220100112201102
4333031021310000
54132431201142
6253120153532
735164234064
oct7715116400
92656315642
101060412672
114a4636810
122571688a8
1313b8ccc27
14a0b95aa4
1563166532
hex3f349d00

1060412672 has 108 divisors (see below), whose sum is σ = 2454811296. Its totient is φ = 453304320.

The previous prime is 1060412671. The next prime is 1060412767. The reversal of 1060412672 is 2762140601.

It is a super-2 number, since 2×10604126722 = 2248950069876359168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1060412671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813173 + ... + 814475.

Almost surely, 21060412672 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 1060412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227405648).

1060412672 is an abundant number, since it is smaller than the sum of its proper divisors (1394398624).

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

1060412672 is a wasteful number, since it uses less digits than its factorization.

1060412672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 1060412672 is about 32563.9781353569. The cubic root of 1060412672 is about 1019.7451215012.

The spelling of 1060412672 in words is "one billion, sixty million, four hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 289 352 374 544 578 704 748 1088 1156 1303 1408 1496 2176 2312 2606 2816 2992 3179 4352 4624 5212 5984 6358 9248 10424 11968 12716 14333 18496 20848 22151 23936 25432 28666 36992 41696 44302 47872 50864 57332 73984 83392 88604 101728 114664 166784 177208 203456 229328 243661 333568 354416 376567 406912 458656 487322 708832 753134 813824 917312 974644 1417664 1506268 1834624 1949288 2835328 3012536 3669248 3898576 4142237 5670656 6025072 7797152 8284474 12050144 15594304 16568948 24100288 31188608 33137896 48200576 62377216 66275792 96401152 132551584 265103168 530206336 1060412672