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153538140 = 22357365567
BaseRepresentation
bin10010010011011…
…00111001011100
3101200220112201210
421021230321130
5303301210030
623122504420
73543024030
oct1111547134
9350815653
10153538140
1179739528
1243505110
1325a6a492
141656a1c0
15d72cbb0
hex926ce5c

153538140 has 48 divisors (see below), whose sum is σ = 491323392. Its totient is φ = 35094336.

The previous prime is 153538117. The next prime is 153538171. The reversal of 153538140 is 41835351.

153538140 is digitally balanced in base 2 and base 3, because in such bases 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 153538098 and 153538107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182364 + ... + 183203.

It is an arithmetic number, because the mean of its divisors is an integer number (10235904).

Almost surely, 2153538140 is an apocalyptic number.

153538140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153538140 is an abundant number, since it is smaller than the sum of its proper divisors (337785252).

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

153538140 is a wasteful number, since it uses less digits than its factorization.

153538140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365586 (or 365584 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 153538140 is about 12391.0508028980. The cubic root of 153538140 is about 535.4744561026.

The spelling of 153538140 in words is "one hundred fifty-three million, five hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 365567 731134 1096701 1462268 1827835 2193402 2558969 3655670 4386804 5117938 5483505 7311340 7676907 10235876 10967010 12794845 15353814 21934020 25589690 30707628 38384535 51179380 76769070 153538140