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120798552 = 23374631553
BaseRepresentation
bin1110011001100…
…11110101011000
322102022012110110
413030303311120
5221411023202
615553044320
72664525240
oct714636530
9272265413
10120798552
1162207816
12345566a0
131c046544
1412086b20
15a91226c
hex7333d58

120798552 has 64 divisors (see below), whose sum is σ = 346106880. Its totient is φ = 34417152.

The previous prime is 120798551. The next prime is 120798563. The reversal of 120798552 is 255897021.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 120798552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120798551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77008 + ... + 78560.

It is an arithmetic number, because the mean of its divisors is an integer number (5407920).

Almost surely, 2120798552 is an apocalyptic number.

120798552 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 120798552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173053440).

120798552 is an abundant number, since it is smaller than the sum of its proper divisors (225308328).

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

120798552 is a wasteful number, since it uses less digits than its factorization.

120798552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 120798552 is about 10990.8394583853. The cubic root of 120798552 is about 494.3341071681.

The spelling of 120798552 in words is "one hundred twenty million, seven hundred ninety-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 463 926 1389 1553 1852 2778 3106 3241 3704 4659 5556 6212 6482 9318 9723 10871 11112 12424 12964 18636 19446 21742 25928 32613 37272 38892 43484 65226 77784 86968 130452 260904 719039 1438078 2157117 2876156 4314234 5033273 5752312 8628468 10066546 15099819 17256936 20133092 30199638 40266184 60399276 120798552