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149108640 = 2535310643
BaseRepresentation
bin10001110001100…
…11011110100000
3101101120111121020
420320303132200
5301132434030
622443525440
73460255032
oct1070633640
9341514536
10149108640
117719358a
1241b29880
1324b79285
1415b35c52
15d155510
hex8e337a0

149108640 has 48 divisors (see below), whose sum is σ = 469693728. Its totient is φ = 39762176.

The previous prime is 149108627. The next prime is 149108647. The reversal of 149108640 is 46801941.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (149108647) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 154842 + ... + 155801.

It is an arithmetic number, because the mean of its divisors is an integer number (9785286).

Almost surely, 2149108640 is an apocalyptic number.

149108640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149108640 is an abundant number, since it is smaller than the sum of its proper divisors (320585088).

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

149108640 is a wasteful number, since it uses less digits than its factorization.

149108640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310661 (or 310653 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 149108640 is about 12211.0048726548. The cubic root of 149108640 is about 530.2747359278.

The spelling of 149108640 in words is "one hundred forty-nine million, one hundred eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 310643 621286 931929 1242572 1553215 1863858 2485144 3106430 3727716 4659645 4970288 6212860 7455432 9319290 9940576 12425720 14910864 18638580 24851440 29821728 37277160 49702880 74554320 149108640