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150312780 = 223351731609
BaseRepresentation
bin10001111010110…
…01011101001100
3101110211200101000
420331121131030
5301440002110
622525420300
73503431452
oct1075313514
9343750330
10150312780
1177936242
124240a690
13251ab397
1415d6a9d2
15d2e21c0
hex8f5974c

150312780 has 96 divisors (see below), whose sum is σ = 470635200. Its totient is φ = 39826944.

The previous prime is 150312779. The next prime is 150312791. The reversal of 150312780 is 87213051.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92616 + ... + 94224.

It is an arithmetic number, because the mean of its divisors is an integer number (4902450).

Almost surely, 2150312780 is an apocalyptic number.

150312780 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 150312780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235317600).

150312780 is an abundant number, since it is smaller than the sum of its proper divisors (320322420).

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

150312780 is a wasteful number, since it uses less digits than its factorization.

150312780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 150312780 is about 12260.2112542974. The cubic root of 150312780 is about 531.6983374684.

The spelling of 150312780 in words is "one hundred fifty million, three hundred twelve thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 173 180 270 346 519 540 692 865 1038 1557 1609 1730 2076 2595 3114 3218 3460 4671 4827 5190 6228 6436 7785 8045 9342 9654 10380 14481 15570 16090 18684 19308 23355 24135 28962 31140 32180 43443 46710 48270 57924 72405 86886 93420 96540 144810 173772 217215 278357 289620 434430 556714 835071 868860 1113428 1391785 1670142 2505213 2783570 3340284 4175355 5010426 5567140 7515639 8350710 10020852 12526065 15031278 16701420 25052130 30062556 37578195 50104260 75156390 150312780