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149717400 = 23352743829
BaseRepresentation
bin10001110110010…
…00000110011000
3101102201102122220
420323020012120
5301311424100
622504544040
73465401610
oct1073100630
9342642586
10149717400
1177569998
1242182020
13250303a1
1415c53a40
15d225aa0
hex8ec8198

149717400 has 192 divisors, whose sum is σ = 543417600. Its totient is φ = 33384960.

The previous prime is 149717389. The next prime is 149717417. The reversal of 149717400 is 4717941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180186 + ... + 181014.

It is an arithmetic number, because the mean of its divisors is an integer number (2830300).

Almost surely, 2149717400 is an apocalyptic number.

149717400 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 149717400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271708800).

149717400 is an abundant number, since it is smaller than the sum of its proper divisors (393700200).

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

149717400 is a wasteful number, since it uses less digits than its factorization.

149717400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 149717400 is about 12235.9061781300. The cubic root of 149717400 is about 530.9954000332.

The spelling of 149717400 in words is "one hundred forty-nine million, seven hundred seventeen thousand, four hundred".