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38668980 = 22357234003
BaseRepresentation
bin1001001110000…
…0101010110100
32200202120212110
42103200222310
534344401410
63500451020
7646452360
oct223405264
980676773
1038668980
111a911639
1210b49a70
13801ba6c
1451c82a0
1535dc720
hex24e0ab4

38668980 has 96 divisors (see below), whose sum is σ = 129153024. Its totient is φ = 8452224.

The previous prime is 38668969. The next prime is 38669023. The reversal of 38668980 is 8986683.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7659 + ... + 11661.

It is an arithmetic number, because the mean of its divisors is an integer number (1345344).

Almost surely, 238668980 is an apocalyptic number.

38668980 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 38668980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64576512).

38668980 is an abundant number, since it is smaller than the sum of its proper divisors (90484044).

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

38668980 is a wasteful number, since it uses less digits than its factorization.

38668980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 38668980 is about 6218.4387108019. The cubic root of 38668980 is about 338.1589649416.

The spelling of 38668980 in words is "thirty-eight million, six hundred sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4003 4830 8006 9660 12009 16012 20015 24018 28021 40030 48036 56042 60045 80060 84063 92069 112084 120090 140105 168126 184138 240180 276207 280210 336252 368276 420315 460345 552414 560420 644483 840630 920690 1104828 1288966 1381035 1681260 1841380 1933449 2577932 2762070 3222415 3866898 5524140 6444830 7733796 9667245 12889660 19334490 38668980