Search a number
-
+
152666640 = 24335723439
BaseRepresentation
bin10010001100110…
…00001000010000
3101122021021021000
421012120020100
5303040313030
623052102000
73532434150
oct1106301020
9348237230
10152666640
11791a3785
1243164900
13258238b9
14163c0760
15d609860
hex9198210

152666640 has 320 divisors, whose sum is σ = 628531200. Its totient is φ = 33302016.

The previous prime is 152666639. The next prime is 152666671. The reversal of 152666640 is 46666251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152666595 and 152666604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347541 + ... + 347979.

It is an arithmetic number, because the mean of its divisors is an integer number (1964160).

Almost surely, 2152666640 is an apocalyptic number.

152666640 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 152666640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314265600).

152666640 is an abundant number, since it is smaller than the sum of its proper divisors (475864560).

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

152666640 is a wasteful number, since it uses less digits than its factorization.

152666640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 152666640 is about 12355.8342494548. The cubic root of 152666640 is about 534.4593951039.

The spelling of 152666640 in words is "one hundred fifty-two million, six hundred sixty-six thousand, six hundred forty".