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150107232 = 25311413467
BaseRepresentation
bin10001111001001…
…11010001100000
3101110110020102010
420330213101200
5301411412412
622521152520
73501614262
oct1074472140
9343406363
10150107232
1177805870
124232b740
1325138962
1415d15b32
15d2a133c
hex8f27460

150107232 has 96 divisors (see below), whose sum is σ = 440463744. Its totient is φ = 44364800.

The previous prime is 150107231. The next prime is 150107317. The reversal of 150107232 is 232701051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 150107199 and 150107208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150107231) 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, 41563 + ... + 45029.

It is an arithmetic number, because the mean of its divisors is an integer number (4588164).

Almost surely, 2150107232 is an apocalyptic number.

150107232 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 150107232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220231872).

150107232 is an abundant number, since it is smaller than the sum of its proper divisors (290356512).

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

150107232 is a wasteful number, since it uses less digits than its factorization.

150107232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 150107232 is about 12251.8256598762. The cubic root of 150107232 is about 531.4558666588.

Adding to 150107232 its reverse (232701051), we get a palindrome (382808283).

The spelling of 150107232 in words is "one hundred fifty million, one hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2706 3467 3608 3936 5412 6934 7216 10401 10824 13868 14432 20802 21648 27736 38137 41604 43296 55472 76274 83208 110944 114411 142147 152548 166416 228822 284294 305096 332832 426441 457644 568588 610192 852882 915288 1137176 1220384 1563617 1705764 1830576 2274352 3127234 3411528 3661152 4548704 4690851 6254468 6823056 9381702 12508936 13646112 18763404 25017872 37526808 50035744 75053616 150107232