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150354540 = 223257217047
BaseRepresentation
bin10001111011000…
…11101001101100
3101110220210122200
420331203221230
5301442321130
622530341500
73503664300
oct1075435154
9343823580
10150354540
1177964656
124242a890
13251c43ab
1415d7bd00
15d2ee760
hex8f63a6c

150354540 has 108 divisors (see below), whose sum is σ = 530567856. Its totient is φ = 34364736.

The previous prime is 150354521. The next prime is 150354541. The reversal of 150354540 is 45453051.

150354540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1503545402 = 45212975397223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150354541) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 297 + ... + 17343.

Almost surely, 2150354540 is an apocalyptic number.

150354540 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 150354540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265283928).

150354540 is an abundant number, since it is smaller than the sum of its proper divisors (380213316).

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

150354540 is a wasteful number, since it uses less digits than its factorization.

150354540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17076 (or 17064 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 150354540 is about 12261.9142061915. The cubic root of 150354540 is about 531.7475718420.

The spelling of 150354540 in words is "one hundred fifty million, three hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 17047 34094 51141 68188 85235 102282 119329 153423 170470 204564 238658 255705 306846 340940 357987 477316 511410 596645 613692 715974 767115 835303 1022820 1073961 1193290 1431948 1534230 1670606 1789935 2147922 2386580 2505909 3068460 3341212 3579870 4176515 4295844 5011818 5369805 7159740 7517727 8353030 10023636 10739610 12529545 15035454 16706060 21479220 25059090 30070908 37588635 50118180 75177270 150354540