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120383472 = 24311232431
BaseRepresentation
bin1110010110011…
…10011111110000
322101112010002010
413023032133300
5221304232342
615540122520
72661146136
oct713163760
9271463063
10120383472
1161a53980
1234396440
131bc2c631
1411db9756
15a87e29c
hex72ce7f0

120383472 has 120 divisors (see below), whose sum is σ = 355477248. Its totient is φ = 34812800.

The previous prime is 120383467. The next prime is 120383479. The reversal of 120383472 is 274383021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120383479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279097 + ... + 279527.

Almost surely, 2120383472 is an apocalyptic number.

120383472 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 120383472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177738624).

120383472 is an abundant number, since it is smaller than the sum of its proper divisors (235093776).

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

120383472 is a wasteful number, since it uses less digits than its factorization.

120383472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 120383472 is about 10971.9402112844. The cubic root of 120383472 is about 493.7672580199.

The spelling of 120383472 in words is "one hundred twenty million, three hundred eighty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 431 506 528 529 552 759 862 1012 1058 1104 1293 1518 1587 1724 2024 2116 2586 3036 3174 3448 4048 4232 4741 5172 5819 6072 6348 6896 8464 9482 9913 10344 11638 12144 12696 14223 17457 18964 19826 20688 23276 25392 28446 29739 34914 37928 39652 46552 56892 59478 69828 75856 79304 93104 109043 113784 118956 139656 158608 218086 227568 227999 237912 279312 327129 436172 455998 475824 654258 683997 872344 911996 1308516 1367994 1744688 1823992 2507989 2617032 2735988 3647984 5015978 5234064 5471976 7523967 10031956 10943952 15047934 20063912 30095868 40127824 60191736 120383472