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150535080 = 233252711543
BaseRepresentation
bin10001111100011…
…11101110101000
3101111020222022100
420332033232220
5302014110310
622534253400
73505345533
oct1076175650
9344228270
10150535080
1177a78263
12424b7260
1325258617
1415dc7a1a
15d337ec0
hex8f8fba8

150535080 has 96 divisors (see below), whose sum is σ = 491362560. Its totient is φ = 39968640.

The previous prime is 150535079. The next prime is 150535087. The reversal of 150535080 is 80535051.

150535080 is a `hidden beast` number, since 1 + 50 + 535 + 0 + 80 = 666.

150535080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150535087) 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, 96789 + ... + 98331.

It is an arithmetic number, because the mean of its divisors is an integer number (5118360).

Almost surely, 2150535080 is an apocalyptic number.

150535080 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 150535080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245681280).

150535080 is an abundant number, since it is smaller than the sum of its proper divisors (340827480).

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

150535080 is a wasteful number, since it uses less digits than its factorization.

150535080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 150535080 is about 12269.2738171417. The cubic root of 150535080 is about 531.9603207823.

It can be divided in two parts, 1505 and 35080, that added together give a triangular number (36585 = T270).

The spelling of 150535080 in words is "one hundred fifty million, five hundred thirty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 271 360 542 813 1084 1355 1543 1626 2168 2439 2710 3086 3252 4065 4629 4878 5420 6172 6504 7715 8130 9258 9756 10840 12195 12344 13887 15430 16260 18516 19512 23145 24390 27774 30860 32520 37032 46290 48780 55548 61720 69435 92580 97560 111096 138870 185160 277740 418153 555480 836306 1254459 1672612 2090765 2508918 3345224 3763377 4181530 5017836 6272295 7526754 8363060 10035672 12544590 15053508 16726120 18816885 25089180 30107016 37633770 50178360 75267540 150535080