Search a number
-
+
155056580 = 225743229
BaseRepresentation
bin10010011110111…
…11100111000100
3101210202200122022
421033133213010
5304143302310
623215222312
73561650000
oct1117374704
9353680568
10155056580
117a586338
1243b17998
132617c673
1416843700
15d92ca55
hex93df9c4

155056580 has 60 divisors (see below), whose sum is σ = 379983660. Its totient is φ = 53145792.

The previous prime is 155056579. The next prime is 155056597. The reversal of 155056580 is 85650551.

It can be written as a sum of positive squares in 2 ways, for example, as 51179716 + 103876864 = 7154^2 + 10192^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 155056580.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46406 + ... + 49634.

It is an arithmetic number, because the mean of its divisors is an integer number (6333061).

Almost surely, 2155056580 is an apocalyptic number.

155056580 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 155056580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189991830).

155056580 is an abundant number, since it is smaller than the sum of its proper divisors (224927080).

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

155056580 is an equidigital number, since it uses as much as digits as its factorization.

155056580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 35.

The square root of 155056580 is about 12452.1716981417. The cubic root of 155056580 is about 537.2338888243.

The spelling of 155056580 in words is "one hundred fifty-five million, fifty-six thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3229 3430 4802 6458 6860 9604 12005 12916 16145 22603 24010 32290 45206 48020 64580 90412 113015 158221 226030 316442 452060 632884 791105 1107547 1582210 2215094 3164420 4430188 5537735 7752829 11075470 15505658 22150940 31011316 38764145 77528290 155056580