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155160252 = 22331328501
BaseRepresentation
bin10010011111110…
…00111010111100
3101210221221212000
421033320322330
5304210112002
623221342300
73562561152
oct1117707274
9353857760
10155160252
117a647215
1243b67990
13261b7900
141686d3d2
15d94d61c
hex93f8ebc

155160252 has 72 divisors (see below), whose sum is σ = 435642480. Its totient is φ = 47736000.

The previous prime is 155160221. The next prime is 155160253. The reversal of 155160252 is 252061551.

155160252 is a `hidden beast` number, since 1 + 5 + 5 + 1 + 602 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155160253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14002 + ... + 22502.

It is an arithmetic number, because the mean of its divisors is an integer number (6050590).

Almost surely, 2155160252 is an apocalyptic number.

155160252 is a gapful number since it is divisible by the number (12) 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 155160252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217821240).

155160252 is an abundant number, since it is smaller than the sum of its proper divisors (280482228).

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

155160252 is a wasteful number, since it uses less digits than its factorization.

155160252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540 (or 8519 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 155160252 is about 12456.3338105560. Note that the first 3 decimals coincide. The cubic root of 155160252 is about 537.3535950274.

The spelling of 155160252 in words is "one hundred fifty-five million, one hundred sixty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 8501 9126 17002 18252 25503 34004 51006 76509 102012 110513 153018 221026 229527 306036 331539 442052 459054 663078 918108 994617 1326156 1436669 1989234 2873338 2983851 3978468 4310007 5746676 5967702 8620014 11935404 12930021 17240028 25860042 38790063 51720084 77580126 155160252