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1072061900 = 2252713117809
BaseRepresentation
bin111111111001100…
…101110111001100
32202201021101110022
4333321211313030
54143421440100
6254214001312
735365242620
oct7771456714
92681241408
101072061900
11500172a78
1225b046238
1314114b370
14a2549180
15641b7e85
hex3fe65dcc

1072061900 has 72 divisors (see below), whose sum is σ = 2863254240. Its totient is φ = 339287040.

The previous prime is 1072061863. The next prime is 1072061923. The reversal of 1072061900 is 91602701.

It is a super-2 number, since 2×10720619002 = 2298633434863220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1072061900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49805 + ... + 68004.

It is an arithmetic number, because the mean of its divisors is an integer number (39767420).

Almost surely, 21072061900 is an apocalyptic number.

1072061900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072061900 is an abundant number, since it is smaller than the sum of its proper divisors (1791192340).

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

1072061900 is a wasteful number, since it uses less digits than its factorization.

1072061900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117843 (or 117836 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 1072061900 is about 32742.3563599201. The cubic root of 1072061900 is about 1023.4656877927.

The spelling of 1072061900 in words is "one billion, seventy-two million, sixty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 117809 235618 471236 589045 824663 1178090 1531517 1649326 2356180 2945225 3063034 3298652 4123315 5890450 6126068 7657585 8246630 10720619 11780900 15315170 16493260 20616575 21441238 30630340 38287925 41233150 42882476 53603095 76575850 82466300 107206190 153151700 214412380 268015475 536030950 1072061900