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152235540 = 22325845753
BaseRepresentation
bin10010001001011…
…10111000010100
3101121110100220100
421010232320110
5302433014130
623034534100
73525660252
oct1104567024
9347410810
10152235540
1178a298a6
1242b97330
1325702602
141630b5d2
15d571c60
hex912ee14

152235540 has 36 divisors (see below), whose sum is σ = 461781684. Its totient is φ = 40596096.

The previous prime is 152235509. The next prime is 152235541. The reversal of 152235540 is 45532251.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99440784 + 52794756 = 9972^2 + 7266^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152235541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422697 + ... + 423056.

It is an arithmetic number, because the mean of its divisors is an integer number (12827269).

Almost surely, 2152235540 is an apocalyptic number.

152235540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152235540 is an abundant number, since it is smaller than the sum of its proper divisors (309546144).

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

152235540 is a wasteful number, since it uses less digits than its factorization.

152235540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845768 (or 845763 counting only the distinct ones).

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

The square root of 152235540 is about 12338.3767165701. The cubic root of 152235540 is about 533.9558520923.

Adding to 152235540 its reverse (45532251), we get a palindrome (197767791).

It can be divided in two parts, 15 and 2235540, that added together give a triangular number (2235555 = T2114).

The spelling of 152235540 in words is "one hundred fifty-two million, two hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 845753 1691506 2537259 3383012 4228765 5074518 7611777 8457530 10149036 12686295 15223554 16915060 25372590 30447108 38058885 50745180 76117770 152235540