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104056320 = 293517797
BaseRepresentation
bin1100011001111…
…00011000000000
321020210121102210
412030330120000
5203114300240
614154142120
72402315124
oct614743000
9236717383
10104056320
1153812065
122aa21940
1318733bb4
14db69584
159206780
hex633c600

104056320 has 160 divisors (see below), whose sum is σ = 352664928. Its totient is φ = 26083328.

The previous prime is 104056297. The next prime is 104056343. The reversal of 104056320 is 23650401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104056297) and next prime (104056343).

It is a tau number, because it is divible by the number of its divisors (160).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130162 + ... + 130958.

Almost surely, 2104056320 is an apocalyptic number.

104056320 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 104056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176332464).

104056320 is an abundant number, since it is smaller than the sum of its proper divisors (248608608).

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

104056320 is an equidigital number, since it uses as much as digits as its factorization.

104056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 104056320 is about 10200.7999686299. The cubic root of 104056320 is about 470.3518114365.

The spelling of 104056320 in words is "one hundred four million, fifty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 797 816 960 1020 1088 1280 1360 1536 1594 1632 1920 2040 2176 2391 2560 2720 3188 3264 3840 3985 4080 4352 4782 5440 6376 6528 7680 7970 8160 8704 9564 10880 11955 12752 13056 13549 15940 16320 19128 21760 23910 25504 26112 27098 31880 32640 38256 40647 43520 47820 51008 54196 63760 65280 67745 76512 81294 95640 102016 108392 127520 130560 135490 153024 162588 191280 203235 204032 216784 255040 270980 306048 325176 382560 406470 408064 433568 510080 541960 612096 650352 765120 812940 867136 1020160 1083920 1224192 1300704 1530240 1625880 1734272 2040320 2167840 2601408 3060480 3251760 3468544 4335680 5202816 6120960 6503520 6937088 8671360 10405632 13007040 17342720 20811264 26014080 34685440 52028160 104056320