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151130784 = 2537224897
BaseRepresentation
bin10010000001000…
…01001010100000
3101112101020110110
421000201022200
5302142141114
622555131320
73513406350
oct1100411240
9345336413
10151130784
1178344882
1242743b40
13254067cc
1416100b60
15d404759
hex90212a0

151130784 has 48 divisors (see below), whose sum is σ = 453394368. Its totient is φ = 43180032.

The previous prime is 151130747. The next prime is 151130831. The reversal of 151130784 is 487031151.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111777 + ... + 113120.

It is an arithmetic number, because the mean of its divisors is an integer number (9445716).

Almost surely, 2151130784 is an apocalyptic number.

151130784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151130784 is an abundant number, since it is smaller than the sum of its proper divisors (302263584).

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

151130784 is a wasteful number, since it uses less digits than its factorization.

151130784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224917 (or 224909 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 151130784 is about 12293.5261011640. The cubic root of 151130784 is about 532.6610960936.

The spelling of 151130784 in words is "one hundred fifty-one million, one hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 224897 449794 674691 899588 1349382 1574279 1799176 2698764 3148558 3598352 4722837 5397528 6297116 7196704 9445674 10795056 12594232 18891348 21590112 25188464 37782696 50376928 75565392 151130784