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2137376 = 25173929
BaseRepresentation
bin1000001001110100100000
311000120221002
420021310200
51021344001
6113451132
724111263
oct10116440
94016832
102137376
11122a92a
12870aa8
1359ab27
143d8cda
152c346b
hex209d20

2137376 has 24 divisors (see below), whose sum is σ = 4456620. Its totient is φ = 1005568.

The previous prime is 2137361. The next prime is 2137391. The reversal of 2137376 is 6737312.

It is an interprime number because it is at equal distance from previous prime (2137361) and next prime (2137391).

It can be written as a sum of positive squares in 2 ways, for example, as 2131600 + 5776 = 1460^2 + 76^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1421 + ... + 2508.

22137376 is an apocalyptic number.

It is an amenable number.

2137376 is an abundant number, since it is smaller than the sum of its proper divisors (2319244).

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

2137376 is a wasteful number, since it uses less digits than its factorization.

2137376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3948 counting only the distinct ones).

The product of its digits is 5292, while the sum is 29.

The square root of 2137376 is about 1461.9767440011. The cubic root of 2137376 is about 128.8131822985.

The spelling of 2137376 in words is "two million, one hundred thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 3929 7858 15716 31432 62864 66793 125728 133586 267172 534344 1068688 2137376