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148266960 = 24353831613
BaseRepresentation
bin10001101011001…
…01111111010000
3101022222202000220
420311211333100
5300424020320
622413513040
73450151122
oct1065457720
9338882026
10148266960
1176769186
12417a2780
132494313a
1415997212
15d03ae40
hex8d65fd0

148266960 has 80 divisors (see below), whose sum is σ = 461113344. Its totient is φ = 39410176.

The previous prime is 148266959. The next prime is 148266971. The reversal of 148266960 is 69662841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91114 + ... + 92726.

Almost surely, 2148266960 is an apocalyptic number.

148266960 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 148266960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230556672).

148266960 is an abundant number, since it is smaller than the sum of its proper divisors (312846384).

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

148266960 is a wasteful number, since it uses less digits than its factorization.

148266960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 148266960 is about 12176.4921056928. The cubic root of 148266960 is about 529.2750977364.

The spelling of 148266960 in words is "one hundred forty-eight million, two hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 383 766 1149 1532 1613 1915 2298 3064 3226 3830 4596 4839 5745 6128 6452 7660 8065 9192 9678 11490 12904 15320 16130 18384 19356 22980 24195 25808 30640 32260 38712 45960 48390 64520 77424 91920 96780 129040 193560 387120 617779 1235558 1853337 2471116 3088895 3706674 4942232 6177790 7413348 9266685 9884464 12355580 14826696 18533370 24711160 29653392 37066740 49422320 74133480 148266960