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149646420 = 223357115961
BaseRepresentation
bin10001110101101…
…10110001010100
3101102120211022000
420322312301110
5301302141140
622503235300
73464654640
oct1072666124
9342524260
10149646420
1177520630
1242148b30
1325006ca1
1415c35c20
15d20ea30
hex8eb6c54

149646420 has 384 divisors, whose sum is σ = 599961600. Its totient is φ = 30067200.

The previous prime is 149646403. The next prime is 149646421. The reversal of 149646420 is 24646941.

149646420 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 4 + 642 + 0 = 666.

149646420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149646421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2453190 + ... + 2453250.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2149646420 is an apocalyptic number.

149646420 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 149646420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299980800).

149646420 is an abundant number, since it is smaller than the sum of its proper divisors (450315180).

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

149646420 is a wasteful number, since it uses less digits than its factorization.

149646420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 149646420 is about 12233.0053543682. The cubic root of 149646420 is about 530.9114730008.

The spelling of 149646420 in words is "one hundred forty-nine million, six hundred forty-six thousand, four hundred twenty".