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150795480 = 233511711609
BaseRepresentation
bin10001111110011…
…11010011011000
3101111202012111210
420333033103120
5302100423410
622544023120
73510511653
oct1077172330
9344665453
10150795480
1178135970
1242601aa0
1325319cc4
141605489a
15d38a220
hex8fcf4d8

150795480 has 128 divisors (see below), whose sum is σ = 500774400. Its totient is φ = 36019200.

The previous prime is 150795473. The next prime is 150795481. The reversal of 150795480 is 84597051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150795481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92916 + ... + 94524.

It is an arithmetic number, because the mean of its divisors is an integer number (3912300).

Almost surely, 2150795480 is an apocalyptic number.

150795480 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 150795480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250387200).

150795480 is an abundant number, since it is smaller than the sum of its proper divisors (349978920).

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

150795480 is a wasteful number, since it uses less digits than its factorization.

150795480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 150795480 is about 12279.8811069163. The cubic root of 150795480 is about 532.2668776123.

The spelling of 150795480 in words is "one hundred fifty million, seven hundred ninety-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 71 88 110 120 132 142 165 213 220 264 284 330 355 426 440 568 660 710 781 852 1065 1320 1420 1562 1609 1704 2130 2343 2840 3124 3218 3905 4260 4686 4827 6248 6436 7810 8045 8520 9372 9654 11715 12872 15620 16090 17699 18744 19308 23430 24135 31240 32180 35398 38616 46860 48270 53097 64360 70796 88495 93720 96540 106194 114239 141592 176990 193080 212388 228478 265485 342717 353980 424776 456956 530970 571195 685434 707960 913912 1061940 1142390 1256629 1370868 1713585 2123880 2284780 2513258 2741736 3427170 3769887 4569560 5026516 6283145 6854340 7539774 10053032 12566290 13708680 15079548 18849435 25132580 30159096 37698870 50265160 75397740 150795480