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150317640 = 233351112653
BaseRepresentation
bin10001111010110…
…10101001001000
3101110211221001000
420331122221020
5301440131030
622525455000
73503451564
oct1075325110
9343757030
10150317640
1177939960
1242411460
13251b0665
1415d6c6a4
15d2e3860
hex8f5aa48

150317640 has 128 divisors (see below), whose sum is σ = 546652800. Its totient is φ = 36437760.

The previous prime is 150317639. The next prime is 150317647. The reversal of 150317640 is 46713051.

150317640 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 17 + 640 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (150317647) by changing a digit.

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, 5554 + ... + 18206.

It is an arithmetic number, because the mean of its divisors is an integer number (4270725).

Almost surely, 2150317640 is an apocalyptic number.

150317640 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 150317640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273326400).

150317640 is an abundant number, since it is smaller than the sum of its proper divisors (396335160).

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

150317640 is a wasteful number, since it uses less digits than its factorization.

150317640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684 (or 12674 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 150317640 is about 12260.4094548265. The cubic root of 150317640 is about 531.7040677997.

The spelling of 150317640 in words is "one hundred fifty million, three hundred seventeen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 12653 25306 37959 50612 63265 75918 101224 113877 126530 139183 151836 189795 227754 253060 278366 303672 341631 379590 417549 455508 506120 556732 569385 683262 695915 759180 835098 911016 1113464 1138770 1252647 1366524 1391830 1518360 1670196 1708155 2087745 2277540 2505294 2733048 2783660 3340392 3416310 3757941 4175490 4555080 5010588 5567320 6263235 6832620 7515882 8350980 10021176 12526470 13665240 15031764 16701960 18789705 25052940 30063528 37579410 50105880 75158820 150317640