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149882520 = 23353143937
BaseRepresentation
bin10001110111100…
…00011010011000
3101110000211011110
420323300122120
5301332220040
622512300320
73466660164
oct1073603230
9343024143
10149882520
1177671a57
12422416a0
132508a5a8
1415c97ca4
15d259980
hex8ef0698

149882520 has 128 divisors (see below), whose sum is σ = 475453440. Its totient is φ = 37739520.

The previous prime is 149882519. The next prime is 149882531. The reversal of 149882520 is 25288941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159492 + ... + 160428.

It is an arithmetic number, because the mean of its divisors is an integer number (3714480).

Almost surely, 2149882520 is an apocalyptic number.

149882520 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 149882520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237726720).

149882520 is an abundant number, since it is smaller than the sum of its proper divisors (325570920).

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

149882520 is a wasteful number, since it uses less digits than its factorization.

149882520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 149882520 is about 12242.6516735550. The cubic root of 149882520 is about 531.1905359971.

The spelling of 149882520 in words is "one hundred forty-nine million, eight hundred eighty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 43 60 62 86 93 120 124 129 155 172 186 215 248 258 310 344 372 430 465 516 620 645 744 860 930 937 1032 1240 1290 1333 1720 1860 1874 2580 2666 2811 3720 3748 3999 4685 5160 5332 5622 6665 7496 7998 9370 10664 11244 13330 14055 15996 18740 19995 22488 26660 28110 29047 31992 37480 39990 40291 53320 56220 58094 79980 80582 87141 112440 116188 120873 145235 159960 161164 174282 201455 232376 241746 290470 322328 348564 402910 435705 483492 580940 604365 697128 805820 871410 966984 1161880 1208730 1249021 1611640 1742820 2417460 2498042 3485640 3747063 4834920 4996084 6245105 7494126 9992168 12490210 14988252 18735315 24980420 29976504 37470630 49960840 74941260 149882520