Search a number
-
+
149153400 = 2337521131
BaseRepresentation
bin10001110001111…
…10011001111000
3101101122210000000
420320332121320
5301140402100
622444513000
73460532364
oct1070763170
9341583000
10149153400
1177214180
1241b4b760
1324b93766
1415b482a4
15d163900
hex8e3e678

149153400 has 384 divisors, whose sum is σ = 585676800. Its totient is φ = 34992000.

The previous prime is 149153387. The next prime is 149153437. The reversal of 149153400 is 4351941.

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

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, 4811385 + ... + 4811415.

It is an arithmetic number, because the mean of its divisors is an integer number (1525200).

Almost surely, 2149153400 is an apocalyptic number.

149153400 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 149153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292838400).

149153400 is an abundant number, since it is smaller than the sum of its proper divisors (436523400).

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

149153400 is a wasteful number, since it uses less digits than its factorization.

149153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 149153400 is about 12212.8375081305. The cubic root of 149153400 is about 530.3277905833.

The spelling of 149153400 in words is "one hundred forty-nine million, one hundred fifty-three thousand, four hundred".