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153420552 = 2332109113173
BaseRepresentation
bin10010010010100…
…00001100001000
3101200200120102200
421021100030020
5303233424202
623120200200
73542024145
oct1111201410
9350616380
10153420552
117966914a
1243469060
1325a28abc
14165393cc
15d707e1c
hex9250308

153420552 has 96 divisors (see below), whose sum is σ = 425482200. Its totient is φ = 49932288.

The previous prime is 153420539. The next prime is 153420569. The reversal of 153420552 is 255024351.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 132572196 + 20848356 = 11514^2 + 4566^2 .

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, 886738 + ... + 886910.

Almost surely, 2153420552 is an apocalyptic number.

153420552 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 153420552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212741100).

153420552 is an abundant number, since it is smaller than the sum of its proper divisors (272061648).

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

153420552 is a wasteful number, since it uses less digits than its factorization.

153420552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 153420552 is about 12386.3050180431. The cubic root of 153420552 is about 535.3377225385.

The spelling of 153420552 in words is "one hundred fifty-three million, four hundred twenty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 113 173 218 226 327 339 346 436 452 519 654 678 692 872 904 981 1017 1038 1308 1356 1384 1557 1962 2034 2076 2616 2712 3114 3924 4068 4152 6228 7848 8136 12317 12456 18857 19549 24634 36951 37714 39098 49268 56571 58647 73902 75428 78196 98536 110853 113142 117294 147804 150856 156392 169713 175941 221706 226284 234588 295608 339426 351882 443412 452568 469176 678852 703764 886824 1357704 1407528 2130841 4261682 6392523 8523364 12785046 17046728 19177569 25570092 38355138 51140184 76710276 153420552