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148525920 = 2533534381
BaseRepresentation
bin10001101101001…
…01001101100000
3101100110220021000
420312211031200
5301010312140
622423232000
73452310114
oct1066451540
9340426230
10148525920
11769257a4
12418a8600
1324a03c7a
1415a23744
15d08ca30
hex8da5360

148525920 has 96 divisors (see below), whose sum is σ = 519855840. Its totient is φ = 39605760.

The previous prime is 148525919. The next prime is 148525933. The reversal of 148525920 is 29525841.

148525920 is a `hidden beast` number, since 1 + 48 + 525 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12871 + ... + 21510.

It is an arithmetic number, because the mean of its divisors is an integer number (5415165).

Almost surely, 2148525920 is an apocalyptic number.

148525920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148525920 is an abundant number, since it is smaller than the sum of its proper divisors (371329920).

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

148525920 is a wasteful number, since it uses less digits than its factorization.

148525920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34405 (or 34391 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 148525920 is about 12187.1210710323. The cubic root of 148525920 is about 529.5830588192.

The spelling of 148525920 in words is "one hundred forty-eight million, five hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 34381 68762 103143 137524 171905 206286 275048 309429 343810 412572 515715 550096 618858 687620 825144 928287 1031430 1100192 1237716 1375240 1547145 1650288 1856574 2062860 2475432 2750480 3094290 3300576 3713148 4125720 4641435 4950864 5500960 6188580 7426296 8251440 9282870 9901728 12377160 14852592 16502880 18565740 24754320 29705184 37131480 49508640 74262960 148525920