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150513516 = 2232191971117
BaseRepresentation
bin10001111100010…
…10011101101100
3101111012212201200
420332022131230
5302012413031
622534005500
73505225626
oct1076123554
9344185650
10150513516
1177a6303a
12424a6890
132524b86a
1415dbdc16
15d3318e6
hex8f8a76c

150513516 has 72 divisors (see below), whose sum is σ = 402882480. Its totient is φ = 47246976.

The previous prime is 150513511. The next prime is 150513523. The reversal of 150513516 is 615315051.

It is a self number, because there is not a number n which added to its sum of digits gives 150513516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150513511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134190 + ... + 135306.

It is an arithmetic number, because the mean of its divisors is an integer number (5595590).

Almost surely, 2150513516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150513516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201441240).

150513516 is an abundant number, since it is smaller than the sum of its proper divisors (252368964).

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

150513516 is a wasteful number, since it uses less digits than its factorization.

150513516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 150513516 is about 12268.3950050526. The cubic root of 150513516 is about 531.9349186409.

Adding to 150513516 its reverse (615315051), we get a palindrome (765828567).

The spelling of 150513516 in words is "one hundred fifty million, five hundred thirteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 197 228 342 394 591 684 788 1117 1182 1773 2234 2364 3351 3546 3743 4468 6702 7092 7486 10053 11229 13404 14972 20106 21223 22458 33687 40212 42446 44916 63669 67374 84892 127338 134748 191007 220049 254676 382014 440098 660147 764028 880196 1320294 1980441 2640588 3960882 4180931 7921764 8361862 12542793 16723724 25085586 37628379 50171172 75256758 150513516