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149663540 = 225131095281
BaseRepresentation
bin10001110101110…
…10111100110100
3101102121200210002
420322322330310
5301303213130
622503450432
73465055565
oct1072727464
9342550702
10149663540
1177532484
1242156a18
1325011a10
1415c3c16c
15d214b45
hex8ebaf34

149663540 has 48 divisors (see below), whose sum is σ = 341639760. Its totient is φ = 54743040.

The previous prime is 149663539. The next prime is 149663543. The reversal of 149663540 is 45366941.

It can be written as a sum of positive squares in 8 ways, for example, as 19749136 + 129914404 = 4444^2 + 11398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 149663494 and 149663503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149663543) 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, 25700 + ... + 30980.

It is an arithmetic number, because the mean of its divisors is an integer number (7117495).

Almost surely, 2149663540 is an apocalyptic number.

149663540 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 149663540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170819880).

149663540 is an abundant number, since it is smaller than the sum of its proper divisors (191976220).

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

149663540 is a wasteful number, since it uses less digits than its factorization.

149663540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 149663540 is about 12233.7050806369. The cubic root of 149663540 is about 530.9317181846.

The spelling of 149663540 in words is "one hundred forty-nine million, six hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1417 2180 2834 5281 5668 7085 10562 14170 21124 26405 28340 52810 68653 105620 137306 274612 343265 575629 686530 1151258 1373060 2302516 2878145 5756290 7483177 11512580 14966354 29932708 37415885 74831770 149663540