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155354120 = 2353722837
BaseRepresentation
bin10010100001010…
…00010000001000
3101211022210210022
421100220100020
5304232312440
623225440012
73564326315
oct1120502010
9354283708
10155354120
117a769939
1244040008
1326254c1c
14168bdd0c
15d98acb5
hex9428408

155354120 has 48 divisors (see below), whose sum is σ = 359375940. Its totient is φ = 60440832.

The previous prime is 155354119. The next prime is 155354153. The reversal of 155354120 is 21453551.

It can be written as a sum of positive squares in 6 ways, for example, as 90744676 + 64609444 = 9526^2 + 8038^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 155354120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53342 + ... + 56178.

Almost surely, 2155354120 is an apocalyptic number.

155354120 is a gapful number since it is divisible by the number (10) 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 155354120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179687970).

155354120 is an abundant number, since it is smaller than the sum of its proper divisors (204021820).

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

155354120 is a wasteful number, since it uses less digits than its factorization.

155354120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 155354120 is about 12464.1132857496. The cubic root of 155354120 is about 537.5773041870.

The spelling of 155354120 in words is "one hundred fifty-five million, three hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1369 1480 2738 2837 5476 5674 6845 10952 11348 13690 14185 22696 27380 28370 54760 56740 104969 113480 209938 419876 524845 839752 1049690 2099380 3883853 4198760 7767706 15535412 19419265 31070824 38838530 77677060 155354120