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104836480 = 275723343
BaseRepresentation
bin1100011111110…
…10110110000000
321022021020121121
412033322312000
5203314231410
614223002024
72412044500
oct617726600
9238236547
10104836480
11541a5221
122b139314
1318948028
14dccda00
15930c9da
hex63fad80

104836480 has 96 divisors (see below), whose sum is σ = 291630240. Its totient is φ = 35933184.

The previous prime is 104836477. The next prime is 104836481. The reversal of 104836480 is 84638401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104836481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29689 + ... + 33031.

It is an arithmetic number, because the mean of its divisors is an integer number (3037815).

Almost surely, 2104836480 is an apocalyptic number.

104836480 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 104836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145815120).

104836480 is an abundant number, since it is smaller than the sum of its proper divisors (186793760).

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

104836480 is an equidigital number, since it uses as much as digits as its factorization.

104836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 104836480 is about 10238.9686980672. The cubic root of 104836480 is about 471.5243700545.

The spelling of 104836480 in words is "one hundred four million, eight hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3343 3920 4480 6272 6686 7840 13372 15680 16715 23401 26744 31360 33430 46802 53488 66860 93604 106976 117005 133720 163807 187208 213952 234010 267440 327614 374416 427904 468020 534880 655228 748832 819035 936040 1069760 1310456 1497664 1638070 1872080 2139520 2620912 2995328 3276140 3744160 5241824 6552280 7488320 10483648 13104560 14976640 20967296 26209120 52418240 104836480