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104274432 = 293319397
BaseRepresentation
bin1100011011100…
…01101000000000
321021012200122000
412031301220000
5203143240212
614202544000
72404214043
oct615615000
9237180560
10104274432
1153950a19
122ab08000
13187ac262
14dbc4c5a
15924b1dc
hex6371a00

104274432 has 160 divisors (see below), whose sum is σ = 325723200. Its totient is φ = 32845824.

The previous prime is 104274427. The next prime is 104274487. The reversal of 104274432 is 234472401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104274396 and 104274405.

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, 262458 + ... + 262854.

It is an arithmetic number, because the mean of its divisors is an integer number (2035770).

Almost surely, 2104274432 is an apocalyptic number.

104274432 is a gapful number since it is divisible by the number (12) 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 104274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162861600).

104274432 is an abundant number, since it is smaller than the sum of its proper divisors (221448768).

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

104274432 is an equidigital number, since it uses as much as digits as its factorization.

104274432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 104274432 is about 10211.4852984275. The cubic root of 104274432 is about 470.6802162164.

The spelling of 104274432 in words is "one hundred four million, two hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 397 432 456 512 513 576 608 684 768 794 864 912 1026 1152 1191 1216 1368 1536 1588 1728 1824 2052 2304 2382 2432 2736 3176 3456 3573 3648 4104 4608 4764 4864 5472 6352 6912 7146 7296 7543 8208 9528 9728 10719 10944 12704 13824 14292 14592 15086 16416 19056 21438 21888 22629 25408 28584 29184 30172 32832 38112 42876 43776 45258 50816 57168 60344 65664 67887 76224 85752 87552 90516 101632 114336 120688 131328 135774 152448 171504 181032 203264 203661 228672 241376 262656 271548 304896 343008 362064 407322 457344 482752 543096 609792 686016 724128 814644 914688 965504 1086192 1372032 1448256 1629288 1829376 1931008 2172384 2744064 2896512 3258576 3862016 4344768 5488128 5793024 6517152 8689536 11586048 13034304 17379072 26068608 34758144 52137216 104274432