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120993048 = 23331150923
BaseRepresentation
bin1110011011000…
…11010100011000
322102200002021000
413031203110120
5221433234143
620001145000
72666265261
oct715432430
9272602230
10120993048
116232a960
123462b160
131c0b3c27
14120d7968
15a94ebd3
hex7363518

120993048 has 64 divisors (see below), whose sum is σ = 366652800. Its totient is φ = 36663840.

The previous prime is 120992999. The next prime is 120993049. The reversal of 120993048 is 840399021.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120993049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23086 + ... + 27837.

It is an arithmetic number, because the mean of its divisors is an integer number (5728950).

Almost surely, 2120993048 is an apocalyptic number.

120993048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120993048 is an abundant number, since it is smaller than the sum of its proper divisors (245659752).

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

120993048 is a wasteful number, since it uses less digits than its factorization.

120993048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50949 (or 50939 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 120993048 is about 10999.6839954610. The cubic root of 120993048 is about 494.5992716366.

The spelling of 120993048 in words is "one hundred twenty million, nine hundred ninety-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 50923 101846 152769 203692 305538 407384 458307 560153 611076 916614 1120306 1222152 1374921 1680459 1833228 2240612 2749842 3360918 3666456 4481224 5041377 5499684 6721836 10082754 10999368 13443672 15124131 20165508 30248262 40331016 60496524 120993048