Search a number
-
+
155414688 = 253111311321
BaseRepresentation
bin10010100001101…
…11000010100000
3101211102212212120
421100313002200
5304241232223
623231024240
73565001022
oct1120670240
9354385776
10155414688
117a8003a0
124406b080
1326276670
14168d8012
15d99dbe3
hex94370a0

155414688 has 96 divisors (see below), whose sum is σ = 479328192. Its totient is φ = 43468800.

The previous prime is 155414671. The next prime is 155414711. The reversal of 155414688 is 886414551.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1554146882 = 48307450492274688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8068 + ... + 19388.

It is an arithmetic number, because the mean of its divisors is an integer number (4993002).

Almost surely, 2155414688 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 155414688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239664096).

155414688 is an abundant number, since it is smaller than the sum of its proper divisors (323913504).

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

155414688 is a wasteful number, since it uses less digits than its factorization.

155414688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11358 (or 11350 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The square root of 155414688 is about 12466.5427444821. The cubic root of 155414688 is about 537.6471569674.

The spelling of 155414688 in words is "one hundred fifty-five million, four hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 11321 13728 22642 33963 45284 67926 90568 124531 135852 147173 181136 249062 271704 294346 362272 373593 441519 498124 543408 588692 747186 883038 996248 1086816 1177384 1494372 1618903 1766076 1992496 2354768 2988744 3237806 3532152 3984992 4709536 4856709 5977488 6475612 7064304 9713418 11954976 12951224 14128608 19426836 25902448 38853672 51804896 77707344 155414688