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150023880 = 23335314481
BaseRepresentation
bin10001111000100…
…10111011001000
3101110022000002000
420330102323020
5301401231010
622515311000
73501116256
oct1074227310
9343260060
10150023880
1177759186
12422ab460
1325109a36
1415cd35d6
15d2867c0
hex8f12ec8

150023880 has 128 divisors (see below), whose sum is σ = 516326400. Its totient is φ = 38707200.

The previous prime is 150023869. The next prime is 150023891. The reversal of 150023880 is 88320051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150023869) and next prime (150023891).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 31240 + ... + 35720.

It is an arithmetic number, because the mean of its divisors is an integer number (4033800).

Almost surely, 2150023880 is an apocalyptic number.

150023880 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 150023880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258163200).

150023880 is an abundant number, since it is smaller than the sum of its proper divisors (366302520).

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

150023880 is a wasteful number, since it uses less digits than its factorization.

150023880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 150023880 is about 12248.4235720357. The cubic root of 150023880 is about 531.3574789692.

The spelling of 150023880 in words is "one hundred fifty million, twenty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 4481 5580 6696 8370 8962 11160 13443 16740 17924 22405 26886 33480 35848 40329 44810 53772 67215 80658 89620 107544 120987 134430 138911 161316 179240 201645 241974 268860 277822 322632 403290 416733 483948 537720 555644 604935 694555 806580 833466 967896 1111288 1209870 1250199 1389110 1613160 1666932 2083665 2419740 2500398 2778220 3333864 3750597 4167330 4839480 5000796 5556440 6250995 7501194 8334660 10001592 12501990 15002388 16669320 18752985 25003980 30004776 37505970 50007960 75011940 150023880