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150336864 = 2533191911
BaseRepresentation
bin10001111010111…
…11010101100000
3101110212220102000
420331133111200
5301441234424
622530124000
73503561616
oct1075372540
9343786360
10150336864
1177952347
1242420600
13251b9332
1415d756b6
15d2e93c9
hex8f5f560

150336864 has 96 divisors (see below), whose sum is σ = 441262080. Its totient is φ = 49795200.

The previous prime is 150336859. The next prime is 150336869. The reversal of 150336864 is 468633051.

It is an interprime number because it is at equal distance from previous prime (150336859) and next prime (150336869).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150336869) 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, 164569 + ... + 165479.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2150336864 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 150336864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

150336864 is an abundant number, since it is smaller than the sum of its proper divisors (290925216).

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

150336864 is a wasteful number, since it uses less digits than its factorization.

150336864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 150336864 is about 12261.1934166296. The cubic root of 150336864 is about 531.7267332329.

The spelling of 150336864 in words is "one hundred fifty million, three hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 191 216 288 382 432 573 764 864 911 1146 1528 1719 1822 2292 2733 3056 3438 3644 4584 5157 5466 6112 6876 7288 8199 9168 10314 10932 13752 14576 16398 18336 20628 21864 24597 27504 29152 32796 41256 43728 49194 55008 65592 82512 87456 98388 131184 165024 174001 196776 262368 348002 393552 522003 696004 787104 1044006 1392008 1566009 2088012 2784016 3132018 4176024 4698027 5568032 6264036 8352048 9396054 12528072 16704096 18792108 25056144 37584216 50112288 75168432 150336864