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152342240 = 2557313043
BaseRepresentation
bin10010001010010…
…00111011100000
3101121122210021012
421011020323200
5302444422430
623041120052
73526613321
oct1105107340
9347583235
10152342240
1178aa1a86
1243029028
132573c04b
1416338448
15d593695
hex9148ee0

152342240 has 48 divisors (see below), whose sum is σ = 364866768. Its totient is φ = 60097536.

The previous prime is 152342237. The next prime is 152342251. The reversal of 152342240 is 42243251.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5159 + ... + 18201.

It is an arithmetic number, because the mean of its divisors is an integer number (7601391).

Almost surely, 2152342240 is an apocalyptic number.

152342240 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 152342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182433384).

152342240 is an abundant number, since it is smaller than the sum of its proper divisors (212524528).

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

152342240 is a wasteful number, since it uses less digits than its factorization.

152342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13131 (or 13123 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 152342240 is about 12342.6998667228. The cubic root of 152342240 is about 534.0805706349.

Adding to 152342240 its reverse (42243251), we get a palindrome (194585491).

The spelling of 152342240 in words is "one hundred fifty-two million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 13043 26086 52172 65215 104344 130430 208688 260860 417376 521720 952139 1043440 1904278 2086880 3808556 4760695 7617112 9521390 15234224 19042780 30468448 38085560 76171120 152342240