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149057880 = 23352634723
BaseRepresentation
bin10001110001001…
…11000101011000
3101101110220222020
420320213011120
5301124323010
622442454440
73456654036
oct1070470530
9341426866
10149057880
1177159434
1241b04420
1324b5c13a
1415b21556
15d145470
hex8e27158

149057880 has 64 divisors (see below), whose sum is σ = 448968960. Its totient is φ = 39589248.

The previous prime is 149057879. The next prime is 149057893. The reversal of 149057880 is 88750941.

149057880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29199 + ... + 33921.

It is an arithmetic number, because the mean of its divisors is an integer number (7015140).

Almost surely, 2149057880 is an apocalyptic number.

149057880 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 149057880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224484480).

149057880 is an abundant number, since it is smaller than the sum of its proper divisors (299911080).

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

149057880 is a wasteful number, since it uses less digits than its factorization.

149057880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 149057880 is about 12208.9262427127. The cubic root of 149057880 is about 530.2145565388.

The spelling of 149057880 in words is "one hundred forty-nine million, fifty-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 526 789 1052 1315 1578 2104 2630 3156 3945 4723 5260 6312 7890 9446 10520 14169 15780 18892 23615 28338 31560 37784 47230 56676 70845 94460 113352 141690 188920 283380 566760 1242149 2484298 3726447 4968596 6210745 7452894 9937192 12421490 14905788 18632235 24842980 29811576 37264470 49685960 74528940 149057880