Search a number
-
+
122590 = 25132341
BaseRepresentation
bin11101111011011110
320020011101
4131323132
512410330
62343314
71020256
oct357336
9206141
10122590
1184116
125ab3a
1343a50
1432966
15264ca
hex1dede

122590 has 32 divisors (see below), whose sum is σ = 254016. Its totient is φ = 42240.

The previous prime is 122579. The next prime is 122597. The reversal of 122590 is 95221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2970 + ... + 3010.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2122590 is an apocalyptic number.

122590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122590 is an abundant number, since it is smaller than the sum of its proper divisors (131426).

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

122590 is a wasteful number, since it uses less digits than its factorization.

122590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 122590 is about 350.1285478221. The cubic root of 122590 is about 49.6765791565.

The spelling of 122590 in words is "one hundred twenty-two thousand, five hundred ninety".

Divisors: 1 2 5 10 13 23 26 41 46 65 82 115 130 205 230 299 410 533 598 943 1066 1495 1886 2665 2990 4715 5330 9430 12259 24518 61295 122590