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150937020 = 22355132389
BaseRepresentation
bin10001111111100…
…01110110111100
3101112000101200000
420333301312330
5302114441040
622551034300
73511641423
oct1077616674
9345011600
10150937020
1178222243
124266b990
1325369560
14160902ba
15d3b7130
hex8ff1dbc

150937020 has 144 divisors (see below), whose sum is σ = 511536480. Its totient is φ = 37138176.

The previous prime is 150936979. The next prime is 150937027. The reversal of 150937020 is 20739051.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150937027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61986 + ... + 64374.

Almost surely, 2150937020 is an apocalyptic number.

150937020 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 150937020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255768240).

150937020 is an abundant number, since it is smaller than the sum of its proper divisors (360599460).

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

150937020 is a wasteful number, since it uses less digits than its factorization.

150937020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 150937020 is about 12285.6428403238. The cubic root of 150937020 is about 532.4333580557.

The spelling of 150937020 in words is "one hundred fifty million, nine hundred thirty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2389 2430 3159 3510 4212 4778 4860 5265 6318 7020 7167 9556 10530 11945 12636 14334 15795 21060 21501 23890 28668 31057 31590 35835 43002 47780 62114 63180 64503 71670 86004 93171 107505 124228 129006 143340 155285 186342 193509 215010 258012 279513 310570 322515 372684 387018 430020 465855 559026 580527 621140 645030 774036 838539 931710 967545 1118052 1161054 1290060 1397565 1677078 1863420 1935090 2322108 2515617 2795130 2902635 3354156 3870180 4192695 5031234 5590260 5805270 7546851 8385390 10062468 11610540 12578085 15093702 16770780 25156170 30187404 37734255 50312340 75468510 150937020