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149680440 = 233357131523
BaseRepresentation
bin10001110101111…
…11000100111000
3101102122112222000
420322333010320
5301304233230
622504101000
73465156060
oct1072770470
9342575860
10149680440
1177544148
1242164760
1325019610
1415c443a0
15d219b60
hex8ebf138

149680440 has 256 divisors, whose sum is σ = 614476800. Its totient is φ = 31560192.

The previous prime is 149680387. The next prime is 149680451. The reversal of 149680440 is 44086941.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 149680395 and 149680404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97519 + ... + 99041.

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

Almost surely, 2149680440 is an apocalyptic number.

149680440 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 149680440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307238400).

149680440 is an abundant number, since it is smaller than the sum of its proper divisors (464796360).

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

149680440 is a wasteful number, since it uses less digits than its factorization.

149680440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 149680440 is about 12234.3957758444. The cubic root of 149680440 is about 530.9517016941.

The spelling of 149680440 in words is "one hundred forty-nine million, six hundred eighty thousand, four hundred forty".