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1072185468 = 2233122712697
BaseRepresentation
bin111111111010000…
…100000001111100
32202201111122221220
4333322010001330
54143434413333
6254220353340
735366266104
oct7772040174
92681448856
101072185468
115002478a2
1225b0a5850
13141192693
14a257c204
15641de8b3
hex3fe8407c

1072185468 has 48 divisors (see below), whose sum is σ = 2594049024. Its totient is φ = 344315520.

The previous prime is 1072185467. The next prime is 1072185473. The reversal of 1072185468 is 8645812701.

It is a super-2 number, since 2×10721854682 = 2299163355580758048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072185463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78096 + ... + 90792.

It is an arithmetic number, because the mean of its divisors is an integer number (54042688).

Almost surely, 21072185468 is an apocalyptic number.

It is an amenable number.

1072185468 is an abundant number, since it is smaller than the sum of its proper divisors (1521863556).

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

1072185468 is a wasteful number, since it uses less digits than its factorization.

1072185468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12962 (or 12960 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1072185468 is about 32744.2432803081. The cubic root of 1072185468 is about 1023.5050085164.

The spelling of 1072185468 in words is "one billion, seventy-two million, one hundred eighty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 227 372 454 681 908 1362 2724 7037 12697 14074 21111 25394 28148 38091 42222 50788 76182 84444 152364 393607 787214 1180821 1574428 2361642 2882219 4723284 5764438 8646657 11528876 17293314 34586628 89348789 178697578 268046367 357395156 536092734 1072185468