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104359920 = 2435762119
BaseRepresentation
bin1100011100001…
…10011111110000
321021101000220020
412032012133300
5203204004140
614204443440
72405021220
oct616063760
9237330806
10104359920
11539aa175
122ab49580
131880c142
14dc08080
1592666d0
hex63867f0

104359920 has 80 divisors (see below), whose sum is σ = 369738240. Its totient is φ = 23853312.

The previous prime is 104359897. The next prime is 104359921. The reversal of 104359920 is 29953401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104359921) 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, 29380 + ... + 32739.

It is an arithmetic number, because the mean of its divisors is an integer number (4621728).

Almost surely, 2104359920 is an apocalyptic number.

104359920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104359920 is an abundant number, since it is smaller than the sum of its proper divisors (265378320).

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

104359920 is a wasteful number, since it uses less digits than its factorization.

104359920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62142 (or 62136 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 104359920 is about 10215.6703157453. The cubic root of 104359920 is about 470.8088080437.

The spelling of 104359920 in words is "one hundred four million, three hundred fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 62119 124238 186357 248476 310595 372714 434833 496952 621190 745428 869666 931785 993904 1242380 1304499 1490856 1739332 1863570 2174165 2484760 2608998 2981712 3478664 3727140 4348330 4969520 5217996 6522495 6957328 7454280 8696660 10435992 13044990 14908560 17393320 20871984 26089980 34786640 52179960 104359920