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120445056 = 273411617
BaseRepresentation
bin1110010110111…
…01100010000000
322101122020120000
413023131202000
5221313220211
615541320000
72661523524
oct713354200
9271566500
10120445056
1161a96176
1234406000
131bc51684
1411dd3d84
15a892656
hex72dd880

120445056 has 80 divisors (see below), whose sum is σ = 358473390. Its totient is φ = 40144896.

The previous prime is 120444979. The next prime is 120445079. The reversal of 120445056 is 650544021.

120445056 is a `hidden beast` number, since 1 + 204 + 450 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108993600 + 11451456 = 10440^2 + 3384^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4560 + ... + 16176.

Almost surely, 2120445056 is an apocalyptic number.

120445056 is a gapful number since it is divisible by the number (16) 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 120445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179236695).

120445056 is an abundant number, since it is smaller than the sum of its proper divisors (238028334).

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

120445056 is an equidigital number, since it uses as much as digits as its factorization.

120445056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11643 (or 11622 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 120445056 is about 10974.7462840833. The cubic root of 120445056 is about 493.8514417220.

Adding to 120445056 its reverse (650544021), we get a palindrome (770989077).

The spelling of 120445056 in words is "one hundred twenty million, four hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 11617 23234 34851 46468 69702 92936 104553 139404 185872 209106 278808 313659 371744 418212 557616 627318 743488 836424 940977 1115232 1254636 1486976 1672848 1881954 2230464 2509272 3345696 3763908 4460928 5018544 6691392 7527816 10037088 13382784 15055632 20074176 30111264 40148352 60222528 120445056