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150351240 = 233513313109
BaseRepresentation
bin10001111011000…
…10110110001000
3101110220122010110
420331202312020
5301442214430
622530314320
73503651544
oct1075426610
9343818113
10150351240
1177962126
12424289a0
13251c2a40
1415d7aa24
15d2ed7b0
hex8f62d88

150351240 has 128 divisors (see below), whose sum is σ = 501580800. Its totient is φ = 35804160.

The previous prime is 150351217. The next prime is 150351287. The reversal of 150351240 is 42153051.

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, 46806 + ... + 49914.

It is an arithmetic number, because the mean of its divisors is an integer number (3918600).

Almost surely, 2150351240 is an apocalyptic number.

150351240 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 150351240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250790400).

150351240 is an abundant number, since it is smaller than the sum of its proper divisors (351229560).

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

150351240 is a wasteful number, since it uses less digits than its factorization.

150351240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 150351240 is about 12261.7796424499. The cubic root of 150351240 is about 531.7436815264.

The spelling of 150351240 in words is "one hundred fifty million, three hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3109 3224 3720 4030 4836 6045 6218 8060 9327 9672 12090 12436 15545 16120 18654 24180 24872 31090 37308 40417 46635 48360 62180 74616 80834 93270 96379 121251 124360 161668 186540 192758 202085 242502 289137 323336 373080 385516 404170 481895 485004 578274 606255 771032 808340 963790 970008 1156548 1212510 1252927 1445685 1616680 1927580 2313096 2425020 2505854 2891370 3758781 3855160 4850040 5011708 5782740 6264635 7517562 10023416 11565480 12529270 15035124 18793905 25058540 30070248 37587810 50117080 75175620 150351240