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148041920 = 26513191873
BaseRepresentation
bin10001101001011…
…11000011000000
3101022120022100002
420310233003000
5300344320140
622405015132
73445223045
oct1064570300
9338508302
10148041920
11766250a4
12416b44a8
1324894890
14159391cc
15cee4415
hex8d2f0c0

148041920 has 112 divisors (see below), whose sum is σ = 399836640. Its totient is φ = 51757056.

The previous prime is 148041917. The next prime is 148041931. The reversal of 148041920 is 29140841.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78104 + ... + 79976.

It is an arithmetic number, because the mean of its divisors is an integer number (3569970).

Almost surely, 2148041920 is an apocalyptic number.

148041920 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 148041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199918320).

148041920 is an abundant number, since it is smaller than the sum of its proper divisors (251794720).

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

148041920 is a wasteful number, since it uses less digits than its factorization.

148041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 148041920 is about 12167.2478400006. The cubic root of 148041920 is about 529.0071837437.

The spelling of 148041920 in words is "one hundred forty-eight million, forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 130 152 160 190 208 247 260 304 320 380 416 494 520 608 760 832 988 1040 1216 1235 1520 1873 1976 2080 2470 3040 3746 3952 4160 4940 6080 7492 7904 9365 9880 14984 15808 18730 19760 24349 29968 35587 37460 39520 48698 59936 71174 74920 79040 97396 119872 121745 142348 149840 177935 194792 243490 284696 299680 355870 389584 462631 486980 569392 599360 711740 779168 925262 973960 1138784 1423480 1558336 1850524 1947920 2277568 2313155 2846960 3701048 3895840 4626310 5693920 7402096 7791680 9252620 11387840 14804192 18505240 29608384 37010480 74020960 148041920