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149980160 = 2105112663
BaseRepresentation
bin10001111000010…
…00010000000000
3101110012210002202
420330020100000
5301343331120
622514332332
73500544641
oct1074102000
9343183082
10149980160
1177729350
124228a0a8
13250c2b75
1415cc16c8
15d278875
hex8f08400

149980160 has 88 divisors (see below), whose sum is σ = 392630976. Its totient is φ = 54517760.

The previous prime is 149980147. The next prime is 149980177. The reversal of 149980160 is 61089941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54989 + ... + 57651.

Almost surely, 2149980160 is an apocalyptic number.

149980160 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 149980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196315488).

149980160 is an abundant number, since it is smaller than the sum of its proper divisors (242650816).

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

149980160 is a wasteful number, since it uses less digits than its factorization.

149980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 149980160 is about 12246.6387225230. The cubic root of 149980160 is about 531.3058578406.

The spelling of 149980160 in words is "one hundred forty-nine million, nine hundred eighty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2663 2816 3520 5120 5326 5632 7040 10652 11264 13315 14080 21304 26630 28160 29293 42608 53260 56320 58586 85216 106520 117172 146465 170432 213040 234344 292930 340864 426080 468688 585860 681728 852160 937376 1171720 1363456 1704320 1874752 2343440 2726912 3408640 3749504 4686880 6817280 7499008 9373760 13634560 14998016 18747520 29996032 37495040 74990080 149980160