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120428992 = 2619971021
BaseRepresentation
bin1110010110110…
…01100111000000
322101121102112001
413023121213000
5221312211432
615541113344
72661425635
oct713314700
9271542461
10120428992
1161a850a2
12343b8854
131bc47278
1411dcc18c
15a88c9e7
hex72d99c0

120428992 has 56 divisors (see below), whose sum is σ = 254396240. Its totient is φ = 56401920.

The previous prime is 120428963. The next prime is 120429007. The reversal of 120428992 is 299824021.

It is a super-2 number, since 2×1204289922 = 29006284228272128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117442 + ... + 118462.

It is an arithmetic number, because the mean of its divisors is an integer number (4542790).

Almost surely, 2120428992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127198120).

120428992 is an abundant number, since it is smaller than the sum of its proper divisors (133967248).

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

120428992 is a wasteful number, since it uses less digits than its factorization.

120428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 120428992 is about 10974.0143976578. The cubic root of 120428992 is about 493.8294854249.

The spelling of 120428992 in words is "one hundred twenty million, four hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 97 152 194 304 388 608 776 1021 1216 1552 1843 2042 3104 3686 4084 6208 7372 8168 14744 16336 19399 29488 32672 38798 58976 65344 77596 99037 117952 155192 198074 310384 396148 620768 792296 1241536 1584592 1881703 3169184 3763406 6338368 7526812 15053624 30107248 60214496 120428992