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37990129 = 613891601
BaseRepresentation
bin1001000011101…
…0111011110001
32122111002122211
42100322323301
534211141004
63434132121
7640624252
oct220727361
978432584
1037990129
111a498601
1210881041
137b41a88
14508cb29
153506504
hex243aef1

37990129 has 8 divisors (see below), whose sum is σ = 38736360. Its totient is φ = 37248000.

The previous prime is 37990111. The next prime is 37990187. The reversal of 37990129 is 92109973.

It can be written as a sum of positive squares in 4 ways, for example, as 3744225 + 34245904 = 1935^2 + 5852^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37990129 - 29 = 37989617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37990091 and 37990100.

It is not an unprimeable number, because it can be changed into a prime (37990109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22929 + ... + 24529.

It is an arithmetic number, because the mean of its divisors is an integer number (4842045).

Almost surely, 237990129 is an apocalyptic number.

It is an amenable number.

37990129 is a deficient number, since it is larger than the sum of its proper divisors (746231).

37990129 is a wasteful number, since it uses less digits than its factorization.

37990129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051.

The product of its (nonzero) digits is 30618, while the sum is 40.

The square root of 37990129 is about 6163.6133071438. The cubic root of 37990129 is about 336.1684275806.

The spelling of 37990129 in words is "thirty-seven million, nine hundred ninety thousand, one hundred twenty-nine".

Divisors: 1 61 389 1601 23729 97661 622789 37990129