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150814440 = 23335719949
BaseRepresentation
bin10001111110100…
…11111011101000
3101111210011112000
420333103323220
5302102030230
622544251000
73510621150
oct1077237350
9344704460
10150814440
1178149137
1242610a60
132532581a
141605b760
15d390b60
hex8fd3ee8

150814440 has 128 divisors (see below), whose sum is σ = 574560000. Its totient is φ = 34470144.

The previous prime is 150814369. The next prime is 150814453. The reversal of 150814440 is 44418051.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2415 + ... + 17534.

It is an arithmetic number, because the mean of its divisors is an integer number (4488750).

Almost surely, 2150814440 is an apocalyptic number.

150814440 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 150814440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280000).

150814440 is an abundant number, since it is smaller than the sum of its proper divisors (423745560).

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

150814440 is a wasteful number, since it uses less digits than its factorization.

150814440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19976 (or 19966 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 150814440 is about 12280.6530770965. The cubic root of 150814440 is about 532.2891845521.

The spelling of 150814440 in words is "one hundred fifty million, eight hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 19949 39898 59847 79796 99745 119694 139643 159592 179541 199490 239388 279286 299235 359082 398980 418929 478776 538623 558572 598470 698215 718164 797960 837858 897705 1077246 1117144 1196940 1256787 1396430 1436328 1675716 1795410 2094645 2154492 2393880 2513574 2693115 2792860 3351432 3590820 3770361 4189290 4308984 5027148 5386230 5585720 6283935 7181640 7540722 8378580 10054296 10772460 12567870 15081444 16757160 18851805 21544920 25135740 30162888 37703610 50271480 75407220 150814440