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149036760 = 2336519269
BaseRepresentation
bin10001110001000…
…01111011011000
3101101102212000000
420320201323120
5301123134020
622442213000
73456535335
oct1070417330
9341385000
10149036760
1177144584
1241ab4160
1324b52642
1415b1798c
15d13e090
hex8e21ed8

149036760 has 224 divisors, whose sum is σ = 531198000. Its totient is φ = 37511424.

The previous prime is 149036759. The next prime is 149036801. The reversal of 149036760 is 67630941.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 553906 + ... + 554174.

Almost surely, 2149036760 is an apocalyptic number.

149036760 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 149036760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265599000).

149036760 is an abundant number, since it is smaller than the sum of its proper divisors (382161240).

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

149036760 is a wasteful number, since it uses less digits than its factorization.

149036760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 149036760 is about 12208.0612711438. The cubic root of 149036760 is about 530.1895133355.

The spelling of 149036760 in words is "one hundred forty-nine million, thirty-six thousand, seven hundred sixty".