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1072894704 = 24375954121
BaseRepresentation
bin111111111100110…
…001001011110000
32202202211200211220
4333330301023300
54144130112304
6254243505040
735405311620
oct7774611360
92682750756
101072894704
11500691742
1225b388180
1314138044b
14a26c4880
15642cead9
hex3ff312f0

1072894704 has 80 divisors (see below), whose sum is σ = 3221341440. Its totient is φ = 301340160.

The previous prime is 1072894687. The next prime is 1072894723. The reversal of 1072894704 is 4074982701.

It is a happy number.

It is a super-2 number, since 2×10728947042 = 2302206091742495232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 7237 + ... + 46884.

It is an arithmetic number, because the mean of its divisors is an integer number (40266768).

Almost surely, 21072894704 is an apocalyptic number.

1072894704 is a gapful number since it is divisible by the number (14) 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 1072894704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610670720).

1072894704 is an abundant number, since it is smaller than the sum of its proper divisors (2148446736).

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

1072894704 is a wasteful number, since it uses less digits than its factorization.

1072894704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54198 (or 54192 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1072894704 is about 32755.0714241322. The cubic root of 1072894704 is about 1023.7306369547.

The spelling of 1072894704 in words is "one billion, seventy-two million, eight hundred ninety-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4956 6608 9912 19824 54121 108242 162363 216484 324726 378847 432968 649452 757694 865936 1136541 1298904 1515388 2273082 2597808 3030776 3193139 4546164 6061552 6386278 9092328 9579417 12772556 18184656 19158834 22351973 25545112 38317668 44703946 51090224 67055919 76635336 89407892 134111838 153270672 178815784 268223676 357631568 536447352 1072894704