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150020736 = 2731033793
BaseRepresentation
bin10001111000100…
…10001010000000
3101110021211202120
420330102022000
5301401130421
622515244240
73501104145
oct1074221200
9343254676
10150020736
1177756888
12422a9680
1325108488
1415cd23cc
15d2858c6
hex8f12280

150020736 has 64 divisors (see below), whose sum is σ = 402467520. Its totient is φ = 49508352.

The previous prime is 150020719. The next prime is 150020753. The reversal of 150020736 is 637020051.

It is an interprime number because it is at equal distance from previous prime (150020719) and next prime (150020753).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37656 + ... + 41448.

It is an arithmetic number, because the mean of its divisors is an integer number (6288555).

Almost surely, 2150020736 is an apocalyptic number.

150020736 is a gapful number since it is divisible by the number (16) 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 150020736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201233760).

150020736 is an abundant number, since it is smaller than the sum of its proper divisors (252446784).

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

150020736 is a wasteful number, since it uses less digits than its factorization.

150020736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 150020736 is about 12248.2952283165. The cubic root of 150020736 is about 531.3537671166.

Adding to 150020736 its reverse (637020051), we get a palindrome (787040787).

The spelling of 150020736 in words is "one hundred fifty million, twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 824 1236 1648 2472 3296 3793 4944 6592 7586 9888 11379 13184 15172 19776 22758 30344 39552 45516 60688 91032 121376 182064 242752 364128 390679 485504 728256 781358 1172037 1456512 1562716 2344074 3125432 4688148 6250864 9376296 12501728 18752592 25003456 37505184 50006912 75010368 150020736