Search a number
-
+
153868104 = 233213433823
BaseRepresentation
bin10010010101111…
…01011101001000
3101201112022100200
421022331131020
5303342234404
623133532200
73545600025
oct1112753510
9351468320
10153868104
1179944425
1243644060
1325b54720
141661454c
15d795839
hex92bd748

153868104 has 96 divisors (see below), whose sum is σ = 459338880. Its totient is φ = 46230912.

The previous prime is 153868087. The next prime is 153868123. The reversal of 153868104 is 401868351.

153868104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38337 + ... + 42159.

It is an arithmetic number, because the mean of its divisors is an integer number (4784780).

Almost surely, 2153868104 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 153868104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229669440).

153868104 is an abundant number, since it is smaller than the sum of its proper divisors (305470776).

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

153868104 is a wasteful number, since it uses less digits than its factorization.

153868104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 153868104 is about 12404.3582663514. The cubic root of 153868104 is about 535.8577720945.

The spelling of 153868104 in words is "one hundred fifty-three million, eight hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 72 78 86 104 117 129 156 172 234 258 312 344 387 468 516 559 774 936 1032 1118 1548 1677 2236 3096 3354 3823 4472 5031 6708 7646 10062 11469 13416 15292 20124 22938 30584 34407 40248 45876 49699 68814 91752 99398 137628 149097 164389 198796 275256 298194 328778 397592 447291 493167 596388 657556 894582 986334 1192776 1315112 1479501 1789164 1972668 2137057 2959002 3578328 3945336 4274114 5918004 6411171 8548228 11836008 12822342 17096456 19233513 25644684 38467026 51289368 76934052 153868104