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38406660 = 22351673833
BaseRepresentation
bin1001001010000…
…0101000000100
32200021021000220
42102200220010
534313003120
63451104340
7644310525
oct222405004
980237026
1038406660
111a752546
1210a420b0
137c59546
14515a84c
153589b40
hex24a0a04

38406660 has 48 divisors (see below), whose sum is σ = 108210816. Its totient is φ = 10177792.

The previous prime is 38406659. The next prime is 38406671. The reversal of 38406660 is 6660483.

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 15 ways as a sum of consecutive naturals, for example, 8104 + ... + 11936.

It is an arithmetic number, because the mean of its divisors is an integer number (2254392).

Almost surely, 238406660 is an apocalyptic number.

38406660 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 38406660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54105408).

38406660 is an abundant number, since it is smaller than the sum of its proper divisors (69804156).

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

38406660 is a wasteful number, since it uses less digits than its factorization.

38406660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 38406660 is about 6197.3107070729. The cubic root of 38406660 is about 337.3925693736.

It can be divided in two parts, 384066 and 60, that added together give a triangular number (384126 = T876).

The spelling of 38406660 in words is "thirty-eight million, four hundred six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2505 3340 3833 5010 7666 10020 11499 15332 19165 22998 38330 45996 57495 76660 114990 229980 640111 1280222 1920333 2560444 3200555 3840666 6401110 7681332 9601665 12802220 19203330 38406660