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155756240 = 2456729059
BaseRepresentation
bin10010100100010…
…10011011010000
3101212002020101122
421102022123100
5304333144430
623242221412
73600622553
oct1122123320
9355066348
10155756240
117aa13a72
12441b4868
1326365c73
141698669a
15da19ee5
hex948a6d0

155756240 has 40 divisors (see below), whose sum is σ = 367550880. Its totient is φ = 61370496.

The previous prime is 155756239. The next prime is 155756267. The reversal of 155756240 is 42657551.

155756240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 155756240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9170 + ... + 19889.

It is an arithmetic number, because the mean of its divisors is an integer number (9188772).

Almost surely, 2155756240 is an apocalyptic number.

155756240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155756240 is an abundant number, since it is smaller than the sum of its proper divisors (211794640).

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

155756240 is a wasteful number, since it uses less digits than its factorization.

155756240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29139 (or 29133 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 155756240 is about 12480.2339721657. The cubic root of 155756240 is about 538.0407278814.

The spelling of 155756240 in words is "one hundred fifty-five million, seven hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 29059 58118 116236 145295 232472 290590 464944 581180 1162360 1946953 2324720 3893906 7787812 9734765 15575624 19469530 31151248 38939060 77878120 155756240