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150305232 = 24371123697
BaseRepresentation
bin10001111010101…
…11100111010000
3101110211022000110
420331113213100
5301434231412
622525321320
73503400450
oct1075274720
9343738013
10150305232
1177930600
1242406240
13251a7b0c
1415d67d60
15d2ded3c
hex8f579d0

150305232 has 120 divisors (see below), whose sum is σ = 487899328. Its totient is φ = 39029760.

The previous prime is 150305227. The next prime is 150305237. The reversal of 150305232 is 232503051.

It is an interprime number because it is at equal distance from previous prime (150305227) and next prime (150305237).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 150305199 and 150305208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150305237) 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, 38808 + ... + 42504.

Almost surely, 2150305232 is an apocalyptic number.

150305232 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 150305232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243949664).

150305232 is an abundant number, since it is smaller than the sum of its proper divisors (337594096).

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

150305232 is a wasteful number, since it uses less digits than its factorization.

150305232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 150305232 is about 12259.9034253945. The cubic root of 150305232 is about 531.6894375239.

Adding to 150305232 its reverse (232503051), we get a palindrome (382808283).

The spelling of 150305232 in words is "one hundred fifty million, three hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3388 3696 3697 5082 5808 6776 7394 10164 11091 13552 14788 20328 22182 25879 29576 40656 40667 44364 51758 59152 77637 81334 88728 103516 122001 155274 162668 177456 207032 244002 284669 310548 325336 414064 447337 488004 569338 621096 650672 854007 894674 976008 1138676 1242192 1342011 1708014 1789348 1952016 2277352 2684022 3131359 3416028 3578696 4554704 5368044 6262718 6832056 7157392 9394077 10736088 12525436 13664112 18788154 21472176 25050872 37576308 50101744 75152616 150305232