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148100960 = 2557132233
BaseRepresentation
bin10001101001111…
…01011101100000
3101022200022022202
420310331131200
5300403212320
622410152332
73445560140
oct1064753540
9338608282
10148100960
1176665497
12417226a8
13248b5707
1415952920
15d006b75
hex8d3d760

148100960 has 48 divisors (see below), whose sum is σ = 399875616. Its totient is φ = 50777088.

The previous prime is 148100917. The next prime is 148100963. The reversal of 148100960 is 69001841.

148100960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148100963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64997 + ... + 67236.

It is an arithmetic number, because the mean of its divisors is an integer number (8330742).

Almost surely, 2148100960 is an apocalyptic number.

148100960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148100960 is an abundant number, since it is smaller than the sum of its proper divisors (251774656).

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

148100960 is a wasteful number, since it uses less digits than its factorization.

148100960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132255 (or 132247 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 148100960 is about 12169.6737836312. The cubic root of 148100960 is about 529.0774981365.

The spelling of 148100960 in words is "one hundred forty-eight million, one hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 132233 264466 528932 661165 925631 1057864 1322330 1851262 2115728 2644660 3702524 4231456 4628155 5289320 7405048 9256310 10578640 14810096 18512620 21157280 29620192 37025240 74050480 148100960