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120374982 = 23271325653
BaseRepresentation
bin1110010110011…
…00011011000110
322101111200102200
413023030123012
5221303444412
615540015330
72661112320
oct713143306
9271450380
10120374982
1161a48562
1234391546
131bc28800
1411db6610
15a87b9dc
hex72cc6c6

120374982 has 72 divisors (see below), whose sum is σ = 322820784. Its totient is φ = 31741632.

The previous prime is 120374981. The next prime is 120374993. The reversal of 120374982 is 289473021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120374981) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18468 + ... + 24120.

It is an arithmetic number, because the mean of its divisors is an integer number (4483622).

Almost surely, 2120374982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120374982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161410392).

120374982 is an abundant number, since it is smaller than the sum of its proper divisors (202445802).

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

120374982 is a wasteful number, since it uses less digits than its factorization.

120374982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5678 counting only the distinct ones).

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

The square root of 120374982 is about 10971.5533084427. The cubic root of 120374982 is about 493.7556501623.

The spelling of 120374982 in words is "one hundred twenty million, three hundred seventy-four thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 2366 3042 3549 5653 7098 10647 11306 16959 21294 33918 39571 50877 73489 79142 101754 118713 146978 220467 237426 356139 440934 514423 661401 712278 955357 1028846 1322802 1543269 1910714 2866071 3086538 4629807 5732142 6687499 8598213 9259614 13374998 17196426 20062497 40124994 60187491 120374982