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153020052 = 223271131457
BaseRepresentation
bin10010001111011…
…10011010010100
3101122221020001100
421013232122110
5303133120202
623103430100
73535435413
oct1107563224
9348836040
10153020052
1179415259
12432b5330
1325918713
141647347a
15d67941c
hex91ee694

153020052 has 72 divisors (see below), whose sum is σ = 396107712. Its totient is φ = 49795200.

The previous prime is 153020051. The next prime is 153020059. The reversal of 153020052 is 250020351.

It is a happy number.

153020052 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153020051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334608 + ... + 335064.

It is an arithmetic number, because the mean of its divisors is an integer number (5501496).

Almost surely, 2153020052 is an apocalyptic number.

153020052 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 153020052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198053856).

153020052 is an abundant number, since it is smaller than the sum of its proper divisors (243087660).

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

153020052 is a wasteful number, since it uses less digits than its factorization.

153020052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 153020052 is about 12370.1274043560. The cubic root of 153020052 is about 534.8714886252.

The spelling of 153020052 in words is "one hundred fifty-three million, twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 131 142 213 262 284 393 426 457 524 639 786 852 914 1179 1278 1371 1572 1828 2358 2556 2742 4113 4716 5484 8226 9301 16452 18602 27903 32447 37204 55806 59867 64894 83709 97341 111612 119734 129788 167418 179601 194682 239468 292023 334836 359202 389364 538803 584046 718404 1077606 1168092 2155212 4250557 8501114 12751671 17002228 25503342 38255013 51006684 76510026 153020052