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150515960 = 235717103307
BaseRepresentation
bin10001111100010…
…11000011111000
3101111020000002012
420332023003320
5302013002320
622534025052
73505236020
oct1076130370
9344200065
10150515960
1177a64961
12424a8188
132524c9ca
1415dc0a80
15d3324c5
hex8f8b0f8

150515960 has 128 divisors (see below), whose sum is σ = 415134720. Its totient is φ = 47941632.

The previous prime is 150515951. The next prime is 150515971. The reversal of 150515960 is 69515051.

150515960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 490127 + ... + 490433.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2150515960 is an apocalyptic number.

150515960 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 150515960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

150515960 is an abundant number, since it is smaller than the sum of its proper divisors (264618760).

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

150515960 is a wasteful number, since it uses less digits than its factorization.

150515960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 32.

The square root of 150515960 is about 12268.4946101794. The cubic root of 150515960 is about 531.9377977664.

The spelling of 150515960 in words is "one hundred fifty million, five hundred fifteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 103 119 136 140 170 206 238 280 307 340 412 476 515 595 614 680 721 824 952 1030 1190 1228 1442 1535 1751 2060 2149 2380 2456 2884 3070 3502 3605 4120 4298 4760 5219 5768 6140 7004 7210 8596 8755 10438 10745 12257 12280 14008 14420 17192 17510 20876 21490 24514 26095 28840 31621 35020 36533 41752 42980 49028 52190 61285 63242 70040 73066 85960 98056 104380 122570 126484 146132 158105 182665 208760 221347 245140 252968 292264 316210 365330 442694 490280 537557 632420 730660 885388 1075114 1106735 1264840 1461320 1770776 2150228 2213470 2687785 3762899 4300456 4426940 5375570 7525798 8853880 10751140 15051596 18814495 21502280 30103192 37628990 75257980 150515960