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162993940 = 22517534649
BaseRepresentation
bin10011011011100…
…01011100010100
3102100200221122121
421231301130110
5313211301230
624101305324
74016265664
oct1155613424
9370627577
10162993940
118400783a
1246705244
13279cb425
141790c1a4
15e49977a
hex9b71714

162993940 has 24 divisors (see below), whose sum is σ = 342556200. Its totient is φ = 65146368.

The previous prime is 162993899. The next prime is 162993953. The reversal of 162993940 is 49399261.

162993940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17405584 + 145588356 = 4172^2 + 12066^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32736 + ... + 37384.

It is an arithmetic number, because the mean of its divisors is an integer number (14273175).

Almost surely, 2162993940 is an apocalyptic number.

162993940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162993940 is an abundant number, since it is smaller than the sum of its proper divisors (179562260).

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

162993940 is a wasteful number, since it uses less digits than its factorization.

162993940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6411 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 162993940 is about 12766.9080046815. The cubic root of 162993940 is about 546.2487874969.

The spelling of 162993940 in words is "one hundred sixty-two million, nine hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 1753 3506 4649 7012 8765 9298 17530 18596 23245 35060 46490 92980 8149697 16299394 32598788 40748485 81496970 162993940