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120439872 = 263473319
BaseRepresentation
bin1110010110111…
…00010001000000
322101121222110000
413023130101000
5221313033442
615541240000
72661502440
oct713342100
9271558400
10120439872
1161a92293
1234403000
131bc4c1c7
1411dd2120
15a890d4c
hex72dc440

120439872 has 140 divisors (see below), whose sum is σ = 408147520. Its totient is φ = 34401024.

The previous prime is 120439843. The next prime is 120439901. The reversal of 120439872 is 278934021.

It is an interprime number because it is at equal distance from previous prime (120439843) and next prime (120439901).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34629 + ... + 37947.

Almost surely, 2120439872 is an apocalyptic number.

120439872 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 120439872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204073760).

120439872 is an abundant number, since it is smaller than the sum of its proper divisors (287707648).

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

120439872 is an equidigital number, since it uses as much as digits as its factorization.

120439872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 120439872 is about 10974.5101029613. The cubic root of 120439872 is about 493.8443564371.

The spelling of 120439872 in words is "one hundred twenty million, four hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 3319 4032 4536 5184 6048 6638 9072 9957 12096 13276 18144 19914 23233 26552 29871 36288 39828 46466 53104 59742 69699 79656 89613 92932 106208 119484 139398 159312 179226 185864 209097 212416 238968 268839 278796 318624 358452 371728 418194 477936 537678 557592 627291 637248 716904 743456 836388 955872 1075356 1115184 1254582 1433808 1486912 1672776 1881873 1911744 2150712 2230368 2509164 2867616 3345552 3763746 4301424 4460736 5018328 5735232 6691104 7527492 8602848 10036656 13382208 15054984 17205696 20073312 30109968 40146624 60219936 120439872