Search a number
-
+
153285012 = 223267103617
BaseRepresentation
bin10010010001011…
…11000110010100
3101200102200111200
421020233012110
5303220110022
623113232500
73540621036
oct1110570624
9350380450
10153285012
1179586331
1243402730
13259ac1ba
1416501c56
15d6ccbac
hex922f194

153285012 has 72 divisors (see below), whose sum is σ = 397715136. Its totient is φ = 49762944.

The previous prime is 153284993. The next prime is 153285023. The reversal of 153285012 is 210582351.

It is a happy number.

153285012 is a `hidden beast` number, since 153 + 2 + 8 + 501 + 2 = 666.

It is a congruent number.

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, 248128 + ... + 248744.

Almost surely, 2153285012 is an apocalyptic number.

153285012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153285012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198857568).

153285012 is an abundant number, since it is smaller than the sum of its proper divisors (244430124).

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

153285012 is a wasteful number, since it uses less digits than its factorization.

153285012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 153285012 is about 12380.8324437414. The cubic root of 153285012 is about 535.1800273402.

The spelling of 153285012 in words is "one hundred fifty-three million, two hundred eighty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 103 134 201 206 268 309 402 412 603 617 618 804 927 1206 1234 1236 1851 1854 2412 2468 3702 3708 5553 6901 7404 11106 13802 20703 22212 27604 41339 41406 62109 63551 82678 82812 124017 124218 127102 165356 190653 248034 248436 254204 372051 381306 496068 571959 744102 762612 1143918 1488204 2287836 4257917 8515834 12773751 17031668 25547502 38321253 51095004 76642506 153285012