Search a number
-
+
155340456 = 23353971259
BaseRepresentation
bin10010100001001…
…00111010101000
3101211022010001020
421100210322220
5304231343311
623225252440
73564241425
oct1120447250
9354263036
10155340456
117a75a647
1244034120
132624b93b
14168b8d4c
15d986c06
hex9424ea8

155340456 has 64 divisors (see below), whose sum is σ = 400075200. Its totient is φ = 50239488.

The previous prime is 155340391. The next prime is 155340463. The reversal of 155340456 is 654043551.

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 15 ways as a sum of consecutive naturals, for example, 122755 + ... + 124013.

It is an arithmetic number, because the mean of its divisors is an integer number (6251175).

Almost surely, 2155340456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155340456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200037600).

155340456 is an abundant number, since it is smaller than the sum of its proper divisors (244734744).

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

155340456 is a wasteful number, since it uses less digits than its factorization.

155340456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 155340456 is about 12463.5651400392. The cubic root of 155340456 is about 537.5615430523.

The spelling of 155340456 in words is "one hundred fifty-five million, three hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 53 97 106 159 194 212 291 318 388 424 582 636 776 1164 1259 1272 2328 2518 3777 5036 5141 7554 10072 10282 15108 15423 20564 30216 30846 41128 61692 66727 122123 123384 133454 200181 244246 266908 366369 400362 488492 533816 732738 800724 976984 1465476 1601448 2930952 6472519 12945038 19417557 25890076 38835114 51780152 77670228 155340456