Search a number
-
+
149295300 = 2235271123281
BaseRepresentation
bin10001110011000…
…01000011000100
3101101220222122120
420321201003010
5301204422200
622451525540
73461663160
oct1071410304
9341828576
10149295300
1177300850
1241bb98b0
1324c1321b
1415b83ca0
15d1909a0
hex8e610c4

149295300 has 288 divisors, whose sum is σ = 563963904. Its totient is φ = 29568000.

The previous prime is 149295283. The next prime is 149295379. The reversal of 149295300 is 3592941.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 531160 + ... + 531440.

It is an arithmetic number, because the mean of its divisors is an integer number (1958208).

Almost surely, 2149295300 is an apocalyptic number.

149295300 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 149295300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281981952).

149295300 is an abundant number, since it is smaller than the sum of its proper divisors (414668604).

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

149295300 is a wasteful number, since it uses less digits than its factorization.

149295300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 149295300 is about 12218.6455877892. The cubic root of 149295300 is about 530.4959165115.

The spelling of 149295300 in words is "one hundred forty-nine million, two hundred ninety-five thousand, three hundred".