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148914920 = 23572116907
BaseRepresentation
bin10001110000001…
…00001011101000
3101101012122212102
420320010023220
5301110234140
622435432532
73455520200
oct1070041350
9341178772
10148914920
1177070a90
1241a55748
1324b0c04b
1415ac5400
15d117e15
hex8e042e8

148914920 has 96 divisors (see below), whose sum is σ = 425256480. Its totient is φ = 46408320.

The previous prime is 148914919. The next prime is 148914929. The reversal of 148914920 is 29419841.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (148914929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18107 + ... + 25013.

It is an arithmetic number, because the mean of its divisors is an integer number (4429755).

Almost surely, 2148914920 is an apocalyptic number.

148914920 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 148914920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212628240).

148914920 is an abundant number, since it is smaller than the sum of its proper divisors (276341560).

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

148914920 is a wasteful number, since it uses less digits than its factorization.

148914920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6943 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 148914920 is about 12203.0701055103. The cubic root of 148914920 is about 530.0449944001.

The spelling of 148914920 in words is "one hundred forty-eight million, nine hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 6907 10780 13814 21560 27628 34535 48349 55256 69070 75977 96698 138140 151954 193396 241745 276280 303908 338443 379885 386792 483490 531839 607816 676886 759770 966980 1063678 1353772 1519540 1692215 1933960 2127356 2659195 2707544 3039080 3384430 3722873 4254712 5318390 6768860 7445746 10636780 13537720 14891492 18614365 21273560 29782984 37228730 74457460 148914920