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152383140 = 223357213443
BaseRepresentation
bin10010001010100…
…10111010100100
3101121201212101000
421011102322210
5303002230030
623042033300
73530143500
oct1105227244
9347655330
10152383140
117901a788
1243048830
1325754850
1416349300
15d5a0860
hex9152ea4

152383140 has 288 divisors, whose sum is σ = 595244160. Its totient is φ = 32078592.

The previous prime is 152383129. The next prime is 152383141. The reversal of 152383140 is 41383251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152383141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343759 + ... + 344201.

It is an arithmetic number, because the mean of its divisors is an integer number (2066820).

Almost surely, 2152383140 is an apocalyptic number.

152383140 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 152383140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297622080).

152383140 is an abundant number, since it is smaller than the sum of its proper divisors (442861020).

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

152383140 is a wasteful number, since it uses less digits than its factorization.

152383140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 152383140 is about 12344.3566053480. The cubic root of 152383140 is about 534.1283620218.

The spelling of 152383140 in words is "one hundred fifty-two million, three hundred eighty-three thousand, one hundred forty".