Search a number
-
+
155151690 = 235171092791
BaseRepresentation
bin10010011111101…
…10110101001010
3101210221112002220
421033312311022
5304204323230
623221234510
73562524201
oct1117666512
9353845086
10155151690
117a640841
1243b62a36
13261b3a45
141686a238
15d94ad10
hex93f6d4a

155151690 has 64 divisors (see below), whose sum is σ = 398027520. Its totient is φ = 38568960.

The previous prime is 155151649. The next prime is 155151691. The reversal of 155151690 is 96151551.

It is a super-2 number, since 2×1551516902 = 48144093819712200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (155151691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54195 + ... + 56985.

It is an arithmetic number, because the mean of its divisors is an integer number (6219180).

Almost surely, 2155151690 is an apocalyptic number.

155151690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 155151690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199013760).

155151690 is an abundant number, since it is smaller than the sum of its proper divisors (242875830).

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

155151690 is a wasteful number, since it uses less digits than its factorization.

155151690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927.

The product of its (nonzero) digits is 6750, while the sum is 33.

The square root of 155151690 is about 12455.9901252369. The cubic root of 155151690 is about 537.3437108248.

It can be divided in two parts, 15515 and 1690, that added together give a triangular number (17205 = T185).

The spelling of 155151690 in words is "one hundred fifty-five million, one hundred fifty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 109 170 218 255 327 510 545 654 1090 1635 1853 2791 3270 3706 5559 5582 8373 9265 11118 13955 16746 18530 27795 27910 41865 47447 55590 83730 94894 142341 237235 284682 304219 474470 608438 711705 912657 1423410 1521095 1825314 3042190 4563285 5171723 9126570 10343446 15515169 25858615 31030338 51717230 77575845 155151690