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149675200 = 2652139673
BaseRepresentation
bin10001110101111…
…01110011000000
3101102122021202221
420322331303000
5301304101300
622504020424
73465134563
oct1072756300
9342567687
10149675200
1177540214
1242161714
132501710c
1415c424da
15d21831a
hex8ebdcc0

149675200 has 84 divisors (see below), whose sum is σ = 371495320. Its totient is φ = 59351040.

The previous prime is 149675189. The next prime is 149675209. The reversal of 149675200 is 2576941.

149675200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (149675209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222064 + ... + 222736.

Almost surely, 2149675200 is an apocalyptic number.

149675200 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 149675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185747660).

149675200 is an abundant number, since it is smaller than the sum of its proper divisors (221820120).

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

149675200 is a wasteful number, since it uses less digits than its factorization.

149675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 149675200 is about 12234.1816236314. The cubic root of 149675200 is about 530.9455057846.

The spelling of 149675200 in words is "one hundred forty-nine million, six hundred seventy-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 139 160 200 278 320 400 556 673 695 800 1112 1346 1390 1600 2224 2692 2780 3365 3475 4448 5384 5560 6730 6950 8896 10768 11120 13460 13900 16825 21536 22240 26920 27800 33650 43072 44480 53840 55600 67300 93547 107680 111200 134600 187094 215360 222400 269200 374188 467735 538400 748376 935470 1076800 1496752 1870940 2338675 2993504 3741880 4677350 5987008 7483760 9354700 14967520 18709400 29935040 37418800 74837600 149675200