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120552054 = 23724173137
BaseRepresentation
bin1110010111101…
…11101001110110
322101211200022220
413023313221312
5221330131204
615543503210
72662450500
oct713675166
9271750286
10120552054
11620595a7
1234457b06
131bc8b29c
1412020d70
15a8b41d9
hex72f7a76

120552054 has 96 divisors (see below), whose sum is σ = 293370336. Its totient is φ = 32901120.

The previous prime is 120552041. The next prime is 120552071. The reversal of 120552054 is 450255021.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879874 + ... + 880010.

It is an arithmetic number, because the mean of its divisors is an integer number (3055941).

Almost surely, 2120552054 is an apocalyptic number.

120552054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120552054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146685168).

120552054 is an abundant number, since it is smaller than the sum of its proper divisors (172818282).

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

120552054 is a wasteful number, since it uses less digits than its factorization.

120552054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 120552054 is about 10979.6199387775. The cubic root of 120552054 is about 493.9976369494.

The spelling of 120552054 in words is "one hundred twenty million, five hundred fifty-two thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 41 42 49 73 82 98 123 137 146 147 219 246 274 287 294 411 438 511 574 822 861 959 1022 1533 1722 1918 2009 2877 2993 3066 3577 4018 5617 5754 5986 6027 6713 7154 8979 10001 10731 11234 12054 13426 16851 17958 20002 20139 20951 21462 30003 33702 39319 40278 41902 60006 62853 70007 78638 117957 125706 140014 146657 210021 235914 275233 293314 410041 420042 439971 490049 550466 820082 825699 879942 980098 1230123 1470147 1651398 2460246 2870287 2940294 5740574 8610861 17221722 20092009 40184018 60276027 120552054