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153245260 = 225719531087
BaseRepresentation
bin10010010001001…
…01011001001100
3101200100122222101
421020211121030
5303212322020
623112324444
73540364120
oct1110453114
9350318871
10153245260
1179559483
12433a3724
132599708c
14164d1580
15d6c100a
hex922564c

153245260 has 96 divisors (see below), whose sum is σ = 394813440. Its totient is φ = 48791808.

The previous prime is 153245189. The next prime is 153245299. The reversal of 153245260 is 62542351.

153245260 is digitally balanced in base 3, 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 (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140437 + ... + 141523.

It is an arithmetic number, because the mean of its divisors is an integer number (4112640).

Almost surely, 2153245260 is an apocalyptic number.

153245260 is a gapful number since it is divisible by the number (10) 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 153245260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

153245260 is an abundant number, since it is smaller than the sum of its proper divisors (241568180).

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

153245260 is a wasteful number, since it uses less digits than its factorization.

153245260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 153245260 is about 12379.2269548627. The cubic root of 153245260 is about 535.1337598992.

The spelling of 153245260 in words is "one hundred fifty-three million, two hundred forty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 53 70 76 95 106 133 140 190 212 265 266 371 380 530 532 665 742 1007 1060 1087 1330 1484 1855 2014 2174 2660 3710 4028 4348 5035 5435 7049 7420 7609 10070 10870 14098 15218 20140 20653 21740 28196 30436 35245 38045 41306 57611 70490 76090 82612 103265 115222 140980 144571 152180 206530 230444 288055 289142 403277 413060 576110 578284 722855 806554 1094609 1152220 1445710 1613108 2016385 2189218 2891420 4032770 4378436 5473045 7662263 8065540 10946090 15324526 21892180 30649052 38311315 76622630 153245260