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150980648 = 237132371127
BaseRepresentation
bin10001111111111…
…00100000101000
3101112002121111212
420333330200220
5302122340043
622552012252
73512212550
oct1077744050
9345077455
10150980648
1178251aa5
1242691088
1325383380
14160a2160
15d3c5018
hex8ffc828

150980648 has 128 divisors (see below), whose sum is σ = 371589120. Its totient is φ = 55883520.

The previous prime is 150980647. The next prime is 150980659. The reversal of 150980648 is 846089051.

150980648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150980647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188761 + ... + 1188887.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 2150980648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150980648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

150980648 is an abundant number, since it is smaller than the sum of its proper divisors (220608472).

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

150980648 is a wasteful number, since it uses less digits than its factorization.

150980648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 150980648 is about 12287.4182805014. The cubic root of 150980648 is about 532.4846526615.

The spelling of 150980648 in words is "one hundred fifty million, nine hundred eighty thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 71 91 92 104 127 142 161 182 184 254 284 299 322 364 497 508 568 598 644 728 889 923 994 1016 1196 1288 1633 1651 1778 1846 1988 2093 2392 2921 3266 3302 3556 3692 3976 4186 5842 6461 6532 6604 7112 7384 8372 9017 11431 11557 11684 12922 13064 13208 16744 18034 20447 21229 22862 23114 23368 25844 36068 37973 40894 42458 45724 46228 51688 63119 72136 75946 81788 84916 91448 92456 117221 126238 148603 151892 163576 169832 207391 234442 252476 265811 297206 303784 414782 468884 504952 531622 594412 820547 829564 937768 1063244 1188824 1451737 1641094 1659128 2126488 2696083 2903474 3282188 5392166 5806948 6564376 10784332 11613896 18872581 21568664 37745162 75490324 150980648