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149030112 = 25371120161
BaseRepresentation
bin10001110001000…
…00010011100000
3101101102111212210
420320200103200
5301122430422
622442122120
73456510060
oct1070402340
9341374783
10149030112
117713a590
1241ab0340
1324b4c5ca
1415b153a0
15d13c10c
hex8e204e0

149030112 has 96 divisors (see below), whose sum is σ = 487759104. Its totient is φ = 38707200.

The previous prime is 149030111. The next prime is 149030149. The reversal of 149030112 is 211030941.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149030111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2689 + ... + 17472.

It is an arithmetic number, because the mean of its divisors is an integer number (5080824).

Almost surely, 2149030112 is an apocalyptic number.

149030112 is a gapful number since it is divisible by the number (12) 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 149030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243879552).

149030112 is an abundant number, since it is smaller than the sum of its proper divisors (338728992).

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

149030112 is a wasteful number, since it uses less digits than its factorization.

149030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20192 (or 20184 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 149030112 is about 12207.7889890021. The cubic root of 149030112 is about 530.1816299286.

The spelling of 149030112 in words is "one hundred forty-nine million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 20161 40322 60483 80644 120966 141127 161288 221771 241932 282254 322576 423381 443542 483864 564508 645152 665313 846762 887084 967728 1129016 1330626 1552397 1693524 1774168 1935456 2258032 2661252 3104794 3387048 3548336 4516064 4657191 5322504 6209588 6774096 7096672 9314382 10645008 12419176 13548192 18628764 21290016 24838352 37257528 49676704 74515056 149030112