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150354120 = 233571710529
BaseRepresentation
bin10001111011000…
…11100011001000
3101110220210002010
420331203203020
5301442312440
622530335520
73503663130
oct1075434310
9343823063
10150354120
1177964304
124242a5a0
13251c4147
1415d7bac0
15d2ee580
hex8f638c8

150354120 has 128 divisors (see below), whose sum is σ = 545875200. Its totient is φ = 32342016.

The previous prime is 150354109. The next prime is 150354121. The reversal of 150354120 is 21453051.

It is a super-2 number, since 2×1503541202 = 45212722801948800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (150354121) 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, 9016 + ... + 19544.

It is an arithmetic number, because the mean of its divisors is an integer number (4264650).

Almost surely, 2150354120 is an apocalyptic number.

150354120 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 150354120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272937600).

150354120 is an abundant number, since it is smaller than the sum of its proper divisors (395521080).

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

150354120 is a wasteful number, since it uses less digits than its factorization.

150354120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10567 (or 10563 counting only the distinct ones).

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

The square root of 150354120 is about 12261.8970799791. The cubic root of 150354120 is about 531.7470767141.

The spelling of 150354120 in words is "one hundred fifty million, three hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 10529 14280 21058 31587 42116 52645 63174 73703 84232 105290 126348 147406 157935 178993 210580 221109 252696 294812 315870 357986 368515 421160 442218 536979 589624 631740 715972 737030 884436 894965 1073958 1105545 1252951 1263480 1431944 1474060 1768872 1789930 2147916 2211090 2505902 2684895 2948120 3579860 3758853 4295832 4422180 5011804 5369790 6264755 7159720 7517706 8844360 10023608 10739580 12529510 15035412 18794265 21479160 25059020 30070824 37588530 50118040 75177060 150354120