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145122660 = 223256113217
BaseRepresentation
bin10001010011001…
…10010101100100
3101010001222212100
420221212111210
5244122411120
622222252100
73411344064
oct1051462544
9333058770
10145122660
1174a10891
1240727030
13240b1bc7
14153b93a4
15cb19490
hex8a66564

145122660 has 72 divisors (see below), whose sum is σ = 447455736. Its totient is φ = 38062080.

The previous prime is 145122643. The next prime is 145122667. The reversal of 145122660 is 66221541.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 145009764 = 336^2 + 12042^2 .

It is not an unprimeable number, because it can be changed into a prime (145122667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4372 + ... + 17588.

It is an arithmetic number, because the mean of its divisors is an integer number (6214663).

Almost surely, 2145122660 is an apocalyptic number.

145122660 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 145122660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223727868).

145122660 is an abundant number, since it is smaller than the sum of its proper divisors (302333076).

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

145122660 is a wasteful number, since it uses less digits than its factorization.

145122660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13293 (or 13288 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145122660 is about 12046.6866814075. The cubic root of 145122660 is about 525.5068845979.

The spelling of 145122660 in words is "one hundred forty-five million, one hundred twenty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 13217 26434 39651 52868 66085 79302 118953 132170 158604 198255 237906 264340 396510 475812 594765 793020 806237 1189530 1612474 2379060 2418711 3224948 4031185 4837422 7256133 8062370 9674844 12093555 14512266 16124740 24187110 29024532 36280665 48374220 72561330 145122660