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149010176 = 28731697
BaseRepresentation
bin10001110000110…
…11011100000000
3101101101111112102
420320123130000
5301121311201
622441445532
73456365000
oct1070333400
9341344472
10149010176
1177126607
1241aa08a8
1324b43503
1415b0c000
15d13626b
hex8e1b700

149010176 has 72 divisors (see below), whose sum is σ = 347071200. Its totient is φ = 63823872.

The previous prime is 149010133. The next prime is 149010181. The reversal of 149010176 is 671010941.

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 7 ways as a sum of consecutive naturals, for example, 86960 + ... + 88656.

Almost surely, 2149010176 is an apocalyptic number.

149010176 is a gapful number since it is divisible by the number (16) 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 149010176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173535600).

149010176 is an abundant number, since it is smaller than the sum of its proper divisors (198061024).

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

149010176 is an frugal number, since it uses more digits than its factorization.

149010176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 149010176 is about 12206.9724338183. The cubic root of 149010176 is about 530.1579877886.

The spelling of 149010176 in words is "one hundred forty-nine million, ten thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 784 896 1372 1568 1697 1792 2744 3136 3394 5488 6272 6788 10976 11879 12544 13576 21952 23758 27152 43904 47516 54304 83153 87808 95032 108608 166306 190064 217216 332612 380128 434432 582071 665224 760256 1164142 1330448 1520512 2328284 2660896 3041024 4656568 5321792 9313136 10643584 18626272 21287168 37252544 74505088 149010176