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149466720 = 253513171409
BaseRepresentation
bin10001110100010…
…10111001100000
3101102020200210110
420322022321200
5301230413340
622455331320
73463306014
oct1072127140
9342220713
10149466720
1177408617
1242080b40
1324c73260
1415bca544
15d1c6680
hex8e8ae60

149466720 has 192 divisors, whose sum is σ = 537243840. Its totient is φ = 34603008.

The previous prime is 149466701. The next prime is 149466739. The reversal of 149466720 is 27664941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149466701) and next prime (149466739).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105376 + ... + 106784.

It is an arithmetic number, because the mean of its divisors is an integer number (2798145).

Almost surely, 2149466720 is an apocalyptic number.

149466720 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 149466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268621920).

149466720 is an abundant number, since it is smaller than the sum of its proper divisors (387777120).

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

149466720 is a wasteful number, since it uses less digits than its factorization.

149466720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 149466720 is about 12225.6582644862. The cubic root of 149466720 is about 530.6988763000.

The spelling of 149466720 in words is "one hundred forty-nine million, four hundred sixty-six thousand, seven hundred twenty".