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38870640 = 2432553987
BaseRepresentation
bin1001010001000…
…1111001110000
32201010211111100
42110101321300
534422330030
63505044400
7651252324
oct224217160
981124440
1038870640
111aa3a0a6
1211026700
13808c7a3
14523b984
15362c360
hex2511e70

38870640 has 60 divisors (see below), whose sum is σ = 130542984. Its totient is φ = 10365312.

The previous prime is 38870633. The next prime is 38870641. The reversal of 38870640 is 4607883.

38870640 is a `hidden beast` number, since 3 + 8 + 8 + 7 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38870595 and 38870604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38870641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26274 + ... + 27713.

Almost surely, 238870640 is an apocalyptic number.

38870640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38870640 is an abundant number, since it is smaller than the sum of its proper divisors (91672344).

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

38870640 is a wasteful number, since it uses less digits than its factorization.

38870640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54006 (or 53997 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38870640 is about 6234.6323067203. The cubic root of 38870640 is about 338.7457827300.

The spelling of 38870640 in words is "thirty-eight million, eight hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 53987 107974 161961 215948 269935 323922 431896 485883 539870 647844 809805 863792 971766 1079740 1295688 1619610 1943532 2159480 2429415 2591376 3239220 3887064 4318960 4858830 6478440 7774128 9717660 12956880 19435320 38870640