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150102520 = 23517713109
BaseRepresentation
bin10001111001001…
…10000111111000
3101110102222221121
420330212013320
5301411240040
622521115024
73501564451
oct1074460770
9343388847
10150102520
1177802277
1242328a74
1325136779
1415d14128
15d29ec4a
hex8f261f8

150102520 has 64 divisors (see below), whose sum is σ = 362750400. Its totient is φ = 55695360.

The previous prime is 150102509. The next prime is 150102523. The reversal of 150102520 is 25201051.

150102520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 150102494 and 150102503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150102523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46726 + ... + 49834.

It is an arithmetic number, because the mean of its divisors is an integer number (5667975).

Almost surely, 2150102520 is an apocalyptic number.

150102520 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 150102520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181375200).

150102520 is an abundant number, since it is smaller than the sum of its proper divisors (212647880).

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

150102520 is a wasteful number, since it uses less digits than its factorization.

150102520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 150102520 is about 12251.6333604952. The cubic root of 150102520 is about 531.4503056426.

Adding to 150102520 its reverse (25201051), we get a palindrome (175303571).

The spelling of 150102520 in words is "one hundred fifty million, one hundred two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 284 340 355 568 680 710 1207 1420 2414 2840 3109 4828 6035 6218 9656 12070 12436 15545 24140 24872 31090 48280 52853 62180 105706 124360 211412 220739 264265 422824 441478 528530 882956 1057060 1103695 1765912 2114120 2207390 3752563 4414780 7505126 8829560 15010252 18762815 30020504 37525630 75051260 150102520