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103379680 = 2555373167
BaseRepresentation
bin1100010100101…
…11001011100000
321012112020021001
412022113023200
5202431122210
614131441344
72363466325
oct612271340
9235466231
10103379680
115339a758
122a756254
1318557c11
14da30b4c
15912103a
hex62972e0

103379680 has 96 divisors (see below), whose sum is σ = 253761984. Its totient is φ = 39776256.

The previous prime is 103379663. The next prime is 103379681. The reversal of 103379680 is 86973301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103379681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618957 + ... + 619123.

It is an arithmetic number, because the mean of its divisors is an integer number (2643354).

Almost surely, 2103379680 is an apocalyptic number.

103379680 is a gapful number since it is divisible by the number (10) 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 103379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126880992).

103379680 is an abundant number, since it is smaller than the sum of its proper divisors (150382304).

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

103379680 is a wasteful number, since it uses less digits than its factorization.

103379680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 103379680 is about 10167.5798496987. The cubic root of 103379680 is about 469.3300852765.

The spelling of 103379680 in words is "one hundred three million, three hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 73 80 106 146 160 167 212 265 292 334 365 424 530 584 668 730 835 848 1060 1168 1336 1460 1670 1696 2120 2336 2672 2920 3340 3869 4240 5344 5840 6680 7738 8480 8851 11680 12191 13360 15476 17702 19345 24382 26720 30952 35404 38690 44255 48764 60955 61904 70808 77380 88510 97528 121910 123808 141616 154760 177020 195056 243820 283232 309520 354040 390112 487640 619040 646123 708080 975280 1292246 1416160 1950560 2584492 3230615 5168984 6461230 10337968 12922460 20675936 25844920 51689840 103379680