Search a number
-
+
149625840 = 243571321731
BaseRepresentation
bin10001110101100…
…01101111110000
3101102112210001210
420322301233300
5301301011330
622503000120
73464540640
oct1072615760
9342483053
10149625840
1177507121
1242139040
1324cca800
1415c2c520
15d2088b0
hex8eb1bf0

149625840 has 480 divisors, whose sum is σ = 627388416. Its totient is φ = 28753920.

The previous prime is 149625803. The next prime is 149625859. The reversal of 149625840 is 48526941.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4826625 + ... + 4826655.

Almost surely, 2149625840 is an apocalyptic number.

149625840 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 149625840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313694208).

149625840 is an abundant number, since it is smaller than the sum of its proper divisors (477762576).

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

149625840 is a wasteful number, since it uses less digits than its factorization.

149625840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 149625840 is about 12232.1641584799. The cubic root of 149625840 is about 530.8871341648.

It can be divided in two parts, 14962 and 5840, that added together give a palindrome (20802).

The spelling of 149625840 in words is "one hundred forty-nine million, six hundred twenty-five thousand, eight hundred forty".