Search a number
-
+
155108688 = 24372320071
BaseRepresentation
bin10010011111011…
…00010101010000
3101210212100010020
421033230111100
5304201434223
623220303440
73562254630
oct1117542520
9353770106
10155108688
117a6114a9
1243b41b80
132619a2b7
14168586c0
15d93d1e3
hex93ec550

155108688 has 80 divisors (see below), whose sum is σ = 477874176. Its totient is φ = 42387840.

The previous prime is 155108677. The next prime is 155108689. The reversal of 155108688 is 886801551.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155108689) 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, 2308 + ... + 17763.

Almost surely, 2155108688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155108688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238937088).

155108688 is an abundant number, since it is smaller than the sum of its proper divisors (322765488).

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

155108688 is a wasteful number, since it uses less digits than its factorization.

155108688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20112 (or 20106 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 42.

The square root of 155108688 is about 12454.2638481767. The cubic root of 155108688 is about 537.2940626614.

The spelling of 155108688 in words is "one hundred fifty-five million, one hundred eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 20071 40142 60213 80284 120426 140497 160568 240852 280994 321136 421491 461633 481704 561988 842982 923266 963408 1123976 1384899 1685964 1846532 2247952 2769798 3231431 3371928 3693064 5539596 6462862 6743856 7386128 9694293 11079192 12925724 19388586 22158384 25851448 38777172 51702896 77554344 155108688