Search a number
-
+
153230454 = 2351379307
BaseRepresentation
bin10010010001000…
…01110001110110
3101200022220200000
421020201301312
5303211333304
623112132130
73540303006
oct1110416166
9350286600
10153230454
1179549343
1243397046
1325990410
14164ca006
15d6bb939
hex9221c76

153230454 has 96 divisors (see below), whose sum is σ = 376696320. Its totient is φ = 46399392.

The previous prime is 153230419. The next prime is 153230471. The reversal of 153230454 is 454032351.

It is a super-2 number, since 2×1532304542 = 46959144066092232, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498969 + ... + 499275.

It is an arithmetic number, because the mean of its divisors is an integer number (3923920).

Almost surely, 2153230454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153230454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188348160).

153230454 is an abundant number, since it is smaller than the sum of its proper divisors (223465866).

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

153230454 is a wasteful number, since it uses less digits than its factorization.

153230454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 153230454 is about 12378.6289224615. The cubic root of 153230454 is about 535.1165251178.

The spelling of 153230454 in words is "one hundred fifty-three million, two hundred thirty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 81 117 158 162 234 237 243 307 351 474 486 614 702 711 921 1027 1053 1422 1842 2054 2106 2133 2763 3081 3159 3991 4266 5526 6162 6318 6399 7982 8289 9243 11973 12798 16578 18486 19197 23946 24253 24867 27729 35919 38394 48506 49734 55458 71838 72759 74601 83187 107757 145518 149202 166374 215514 218277 249561 315289 323271 436554 499122 630578 646542 654831 945867 969813 1309662 1891734 1939626 1964493 2837601 3928986 5675202 5893479 8512803 11786958 17025606 25538409 51076818 76615227 153230454