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38131260 = 2235718951
BaseRepresentation
bin1001000101110…
…1011000111100
32122202021020220
42101131120330
534230200020
63441141340
7642052566
oct221353074
978667226
1038131260
111a584642
121092a850
137b9109b
1450c8336
153533240
hex245d63c

38131260 has 48 divisors (see below), whose sum is σ = 108283392. Its totient is φ = 10024000.

The previous prime is 38131253. The next prime is 38131267. The reversal of 38131260 is 6213183.

38131260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38131253) and next prime (38131267).

It is a self number, because there is not a number n which added to its sum of digits gives 38131260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38131267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216 + ... + 8735.

It is an arithmetic number, because the mean of its divisors is an integer number (2255904).

Almost surely, 238131260 is an apocalyptic number.

38131260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38131260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54141696).

38131260 is an abundant number, since it is smaller than the sum of its proper divisors (70152132).

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

38131260 is a wasteful number, since it uses less digits than its factorization.

38131260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9034 (or 9032 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 38131260 is about 6175.0514167900. The cubic root of 38131260 is about 336.5841948540.

The spelling of 38131260 in words is "thirty-eight million, one hundred thirty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 8951 17902 26853 35804 44755 53706 89510 107412 134265 179020 268530 537060 635521 1271042 1906563 2542084 3177605 3813126 6355210 7626252 9532815 12710420 19065630 38131260