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149432640 = 2635737601
BaseRepresentation
bin10001110100000…
…10100101000000
3101102011222001020
420322002211000
5301223321030
622454505440
73463104450
oct1072024500
9342158036
10149432640
1177394a55
1242065280
1324c608a6
1415bbbd60
15d1bb510
hex8e82940

149432640 has 224 divisors, whose sum is σ = 557808384. Its totient is φ = 33177600.

The previous prime is 149432629. The next prime is 149432641. The reversal of 149432640 is 46234941.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1494326402 = 44660227794739200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149432641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248340 + ... + 248940.

It is an arithmetic number, because the mean of its divisors is an integer number (2490216).

Almost surely, 2149432640 is an apocalyptic number.

149432640 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 149432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278904192).

149432640 is an abundant number, since it is smaller than the sum of its proper divisors (408375744).

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

149432640 is a wasteful number, since it uses less digits than its factorization.

149432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 149432640 is about 12224.2643950464. The cubic root of 149432640 is about 530.6585382401.

The spelling of 149432640 in words is "one hundred forty-nine million, four hundred thirty-two thousand, six hundred forty".