Search a number
-
+
149899680 = 2533574957
BaseRepresentation
bin10001110111101…
…00100110100000
3101110001200201000
420323310212200
5301333242210
622512512000
73500061210
oct1073644640
9343050630
10149899680
1177683937
124224b600
1325095348
1415ca0240
15d25eac0
hex8ef49a0

149899680 has 192 divisors, whose sum is σ = 599719680. Its totient is φ = 34255872.

The previous prime is 149899667. The next prime is 149899681. The reversal of 149899680 is 86998941.

149899680 is a `hidden beast` number, since 1 + 498 + 99 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (149899681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27762 + ... + 32718.

It is an arithmetic number, because the mean of its divisors is an integer number (3123540).

Almost surely, 2149899680 is an apocalyptic number.

149899680 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 149899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299859840).

149899680 is an abundant number, since it is smaller than the sum of its proper divisors (449820000).

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

149899680 is a wasteful number, since it uses less digits than its factorization.

149899680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 149899680 is about 12243.3524820614. The cubic root of 149899680 is about 531.2108071663.

The spelling of 149899680 in words is "one hundred forty-nine million, eight hundred ninety-nine thousand, six hundred eighty".