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149359680 = 2633559293
BaseRepresentation
bin10001110011100…
…00110001000000
3101102001020222000
420321300301000
5301214002210
622453144000
73462351651
oct1071606100
9342036860
10149359680
1177345158
124202b000
1324c36612
1415b9d528
15d1a4ac0
hex8e70c40

149359680 has 224 divisors, whose sum is σ = 537667200. Its totient is φ = 39020544.

The previous prime is 149359667. The next prime is 149359697. The reversal of 149359680 is 86953941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 509614 + ... + 509906.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300).

Almost surely, 2149359680 is an apocalyptic number.

149359680 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 149359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268833600).

149359680 is an abundant number, since it is smaller than the sum of its proper divisors (388307520).

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

149359680 is a wasteful number, since it uses less digits than its factorization.

149359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 149359680 is about 12221.2798020502. The cubic root of 149359680 is about 530.5721600794.

The spelling of 149359680 in words is "one hundred forty-nine million, three hundred fifty-nine thousand, six hundred eighty".