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149175900 = 223252831997
BaseRepresentation
bin10001110010000…
…11111001011100
3101101200220212100
420321003321130
5301142112100
622445205100
73460655106
oct1071037134
9341626770
10149175900
117722a075
1241b60790
1324ba0a83
1415b52576
15d16a400
hex8e43e5c

149175900 has 108 divisors (see below), whose sum is σ = 473454072. Its totient is φ = 39281280.

The previous prime is 149175893. The next prime is 149175911. The reversal of 149175900 is 9571941.

149175900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73702 + ... + 75698.

It is an arithmetic number, because the mean of its divisors is an integer number (4383834).

Almost surely, 2149175900 is an apocalyptic number.

149175900 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 149175900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236727036).

149175900 is an abundant number, since it is smaller than the sum of its proper divisors (324278172).

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

149175900 is a wasteful number, since it uses less digits than its factorization.

149175900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 149175900 is about 12213.7586352441. The cubic root of 149175900 is about 530.3544561400.

The spelling of 149175900 in words is "one hundred forty-nine million, one hundred seventy-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 83 90 100 150 166 180 225 249 300 332 415 450 498 747 830 900 996 1245 1494 1660 1997 2075 2490 2988 3735 3994 4150 4980 5991 6225 7470 7988 8300 9985 11982 12450 14940 17973 18675 19970 23964 24900 29955 35946 37350 39940 49925 59910 71892 74700 89865 99850 119820 149775 165751 179730 199700 299550 331502 359460 449325 497253 599100 663004 828755 898650 994506 1491759 1657510 1797300 1989012 2486265 2983518 3315020 4143775 4972530 5967036 7458795 8287550 9945060 12431325 14917590 16575100 24862650 29835180 37293975 49725300 74587950 149175900