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150535332 = 223267139449
BaseRepresentation
bin10001111100011…
…11110010100100
3101111020222122200
420332033302210
5302014112312
622534254500
73505346343
oct1076176244
9344228580
10150535332
1177a78472
12424b7430
132525877c
1415dc7b5a
15d3380dc
hex8f8fca4

150535332 has 72 divisors (see below), whose sum is σ = 389844000. Its totient is φ = 48964608.

The previous prime is 150535331. The next prime is 150535339. The reversal of 150535332 is 233535051.

It is a junction number, because it is equal to n+sod(n) for n = 150535296 and 150535305.

It is not an unprimeable number, because it can be changed into a prime (150535331) 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, 335044 + ... + 335492.

It is an arithmetic number, because the mean of its divisors is an integer number (5414500).

Almost surely, 2150535332 is an apocalyptic number.

150535332 is a gapful number since it is divisible by the number (12) 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 150535332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194922000).

150535332 is an abundant number, since it is smaller than the sum of its proper divisors (239308668).

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

150535332 is a wasteful number, since it uses less digits than its factorization.

150535332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 150535332 is about 12269.2840866939. The cubic root of 150535332 is about 531.9606176210.

The spelling of 150535332 in words is "one hundred fifty million, five hundred thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 139 201 268 278 402 417 449 556 603 804 834 898 1206 1251 1347 1668 1796 2412 2502 2694 4041 5004 5388 8082 9313 16164 18626 27939 30083 37252 55878 60166 62411 83817 90249 111756 120332 124822 167634 180498 187233 249644 270747 335268 360996 374466 541494 561699 748932 1082988 1123398 2246796 4181537 8363074 12544611 16726148 25089222 37633833 50178444 75267666 150535332