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150575680 = 2653143353
BaseRepresentation
bin10001111100110…
…01101001000000
3101111100001000001
420332121221000
5302021410210
622535205344
73505605103
oct1076315100
9344301001
10150575680
1177aa5812
1242516854
1325270c48
1415dd873a
15d34503a
hex8f99a40

150575680 has 112 divisors (see below), whose sum is σ = 379805184. Its totient is φ = 56770560.

The previous prime is 150575671. The next prime is 150575699. The reversal of 150575680 is 86575051.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426384 + ... + 426736.

Almost surely, 2150575680 is an apocalyptic number.

150575680 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 150575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189902592).

150575680 is an abundant number, since it is smaller than the sum of its proper divisors (229229504).

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

150575680 is a wasteful number, since it uses less digits than its factorization.

150575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 37.

The square root of 150575680 is about 12270.9282452470. The cubic root of 150575680 is about 532.0081405278.

The spelling of 150575680 in words is "one hundred fifty million, five hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 43 62 64 80 86 124 155 160 172 215 248 310 320 344 353 430 496 620 688 706 860 992 1240 1333 1376 1412 1720 1765 1984 2480 2666 2752 2824 3440 3530 4960 5332 5648 6665 6880 7060 9920 10664 10943 11296 13330 13760 14120 15179 21328 21886 22592 26660 28240 30358 42656 43772 53320 54715 56480 60716 75895 85312 87544 106640 109430 112960 121432 151790 175088 213280 218860 242864 303580 350176 426560 437720 470549 485728 607160 700352 875440 941098 971456 1214320 1750880 1882196 2352745 2428640 3501760 3764392 4705490 4857280 7528784 9410980 15057568 18821960 30115136 37643920 75287840 150575680