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150968780 = 225232911317
BaseRepresentation
bin10001111111110…
…01100111001100
3101112002000020022
420333321213030
5302122000110
622551441312
73512133134
oct1077714714
9345060208
10150968780
1178244096
1242686238
132537ab51
141609bac4
15d3c1755
hex8ff99cc

150968780 has 48 divisors (see below), whose sum is σ = 342256320. Its totient is φ = 55765248.

The previous prime is 150968777. The next prime is 150968801. The reversal of 150968780 is 87869051.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7682 + ... + 18998.

It is an arithmetic number, because the mean of its divisors is an integer number (7130340).

Almost surely, 2150968780 is an apocalyptic number.

150968780 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 150968780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171128160).

150968780 is an abundant number, since it is smaller than the sum of its proper divisors (191287540).

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

150968780 is a wasteful number, since it uses less digits than its factorization.

150968780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11378 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 150968780 is about 12286.9353379921. The cubic root of 150968780 is about 532.4707001152.

The spelling of 150968780 in words is "one hundred fifty million, nine hundred sixty-eight thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 11317 13340 22634 45268 56585 113170 226340 260291 328193 520582 656386 1041164 1301455 1312772 1640965 2602910 3281930 5205820 6563860 7548439 15096878 30193756 37742195 75484390 150968780