Search a number
-
+
155155416 = 23313509977
BaseRepresentation
bin10010011111101…
…11101111011000
3101210221201012220
421033313233120
5304204433131
623221304040
73562541103
oct1117675730
9353851186
10155155416
117a643619
1243b65020
13261b5650
141686b73a
15d94be96
hex93f7bd8

155155416 has 64 divisors (see below), whose sum is σ = 418975200. Its totient is φ = 47597568.

The previous prime is 155155411. The next prime is 155155421. The reversal of 155155416 is 614551551.

It is an interprime number because it is at equal distance from previous prime (155155411) and next prime (155155421).

It is a super-2 number, since 2×1551554162 = 48146406228266112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155155411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158320 + ... + 159296.

Almost surely, 2155155416 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 155155416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209487600).

155155416 is an abundant number, since it is smaller than the sum of its proper divisors (263819784).

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

155155416 is a wasteful number, since it uses less digits than its factorization.

155155416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1504 counting only the distinct ones).

The product of its digits is 15000, while the sum is 33.

The square root of 155155416 is about 12456.1396909315. The cubic root of 155155416 is about 537.3480122639.

The spelling of 155155416 in words is "one hundred fifty-five million, one hundred fifty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 509 977 1018 1527 1954 2036 2931 3054 3908 4072 5862 6108 6617 7816 11724 12216 12701 13234 19851 23448 25402 26468 38103 39702 50804 52936 76206 79404 101608 152412 158808 304824 497293 994586 1491879 1989172 2983758 3978344 5967516 6464809 11935032 12929618 19394427 25859236 38788854 51718472 77577708 155155416