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149894784 = 27321310009
BaseRepresentation
bin10001110111100…
…11011010000000
3101110001102222200
420323303122000
5301333113114
622512433200
73500041014
oct1073633200
9343042880
10149894784
1177680196
1242248800
1325093050
1415c9c544
15d25d409
hex8ef3680

149894784 has 96 divisors (see below), whose sum is σ = 464564100. Its totient is φ = 46116864.

The previous prime is 149894753. The next prime is 149894803. The reversal of 149894784 is 487498941.

It can be written as a sum of positive squares in 2 ways, for example, as 145733184 + 4161600 = 12072^2 + 2040^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 149894784.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9972 + ... + 19980.

Almost surely, 2149894784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149894784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232282050).

149894784 is an abundant number, since it is smaller than the sum of its proper divisors (314669316).

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

149894784 is a wasteful number, since it uses less digits than its factorization.

149894784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 10027 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 149894784 is about 12243.1525351929. The cubic root of 149894784 is about 531.2050236618.

The spelling of 149894784 in words is "one hundred forty-nine million, eight hundred ninety-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 10009 14976 20018 30027 40036 60054 80072 90081 120108 130117 160144 180162 240216 260234 320288 360324 390351 480432 520468 640576 720648 780702 960864 1040936 1171053 1281152 1441296 1561404 1921728 2081872 2342106 2882592 3122808 3843456 4163744 4684212 5765184 6245616 8327488 9368424 11530368 12491232 16654976 18736848 24982464 37473696 49964928 74947392 149894784