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104182272 = 293223983
BaseRepresentation
bin1100011010110…
…11001000000000
321021001000012200
412031123020000
5203132313042
614200553200
72403351255
oct615331000
9237030180
10104182272
1153898757
122aa82800
131877931c
14db9d42c
15922dc4c
hex635b200

104182272 has 120 divisors (see below), whose sum is σ = 314069184. Its totient is φ = 33183744.

The previous prime is 104182241. The next prime is 104182283. The reversal of 104182272 is 272281401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105493 + ... + 106475.

Almost surely, 2104182272 is an apocalyptic number.

104182272 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 104182272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157034592).

104182272 is an abundant number, since it is smaller than the sum of its proper divisors (209886912).

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

104182272 is an equidigital number, since it uses as much as digits as its factorization.

104182272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 104182272 is about 10206.9717350446. The cubic root of 104182272 is about 470.5415095567.

The spelling of 104182272 in words is "one hundred four million, one hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 983 1104 1152 1472 1536 1656 1966 2208 2304 2944 2949 3312 3932 4416 4608 5888 5898 6624 7864 8832 8847 11776 11796 13248 15728 17664 17694 22609 23592 26496 31456 35328 35388 45218 47184 52992 62912 67827 70776 90436 94368 105984 125824 135654 141552 180872 188736 203481 251648 271308 283104 361744 377472 406962 503296 542616 566208 723488 754944 813924 1085232 1132416 1446976 1509888 1627848 2170464 2264832 2893952 3255696 4340928 4529664 5787904 6511392 8681856 11575808 13022784 17363712 26045568 34727424 52091136 104182272