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38608680 = 23351122659
BaseRepresentation
bin1001001101000…
…1111100101000
32200122112011010
42103101330220
534340434210
63455303520
7646111515
oct223217450
980575133
1038608680
111a880300
1210b1aba0
137cca496
1451b030c
1535c9920
hex24d1f28

38608680 has 96 divisors (see below), whose sum is σ = 127360800. Its totient is φ = 9356160.

The previous prime is 38608679. The next prime is 38608693. The reversal of 38608680 is 8680683.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13191 + ... + 15849.

It is an arithmetic number, because the mean of its divisors is an integer number (1326675).

Almost surely, 238608680 is an apocalyptic number.

38608680 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 38608680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63680400).

38608680 is an abundant number, since it is smaller than the sum of its proper divisors (88752120).

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

38608680 is a wasteful number, since it uses less digits than its factorization.

38608680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 38608680 is about 6213.5883352536. The cubic root of 38608680 is about 337.9830996533.

The spelling of 38608680 in words is "thirty-eight million, six hundred eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2659 2904 3630 4840 5318 7260 7977 10636 13295 14520 15954 21272 26590 29249 31908 39885 53180 58498 63816 79770 87747 106360 116996 146245 159540 175494 233992 292490 319080 321739 350988 438735 584980 643478 701976 877470 965217 1169960 1286956 1608695 1754940 1930434 2573912 3217390 3509880 3860868 4826085 6434780 7721736 9652170 12869560 19304340 38608680