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150039936 = 2732139937
BaseRepresentation
bin10001111000101…
…10110110000000
3101110022211002200
420330112312000
5301402234221
622515513200
73501214134
oct1074266600
9343284080
10150039936
117776a252
12422b8800
1325114137
1415cd93c4
15d28b426
hex8f16d80

150039936 has 96 divisors (see below), whose sum is σ = 435325800. Its totient is φ = 49600512.

The previous prime is 150039919. The next prime is 150039949. The reversal of 150039936 is 639930051.

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 self number, because there is not a number n which added to its sum of digits gives 150039936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159660 + ... + 160596.

Almost surely, 2150039936 is an apocalyptic number.

150039936 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 150039936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217662900).

150039936 is an abundant number, since it is smaller than the sum of its proper divisors (285285864).

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

150039936 is a wasteful number, since it uses less digits than its factorization.

150039936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 150039936 is about 12249.0789857850. The cubic root of 150039936 is about 531.3764341101.

Adding to 150039936 its reverse (639930051), we get a palindrome (789969987).

It can be divided in two parts, 150039 and 936, that added together give a triangular number (150975 = T549).

The spelling of 150039936 in words is "one hundred fifty million, thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 278 288 384 417 556 576 834 937 1112 1152 1251 1668 1874 2224 2502 2811 3336 3748 4448 5004 5622 6672 7496 8433 8896 10008 11244 13344 14992 16866 17792 20016 22488 26688 29984 33732 40032 44976 53376 59968 67464 80064 89952 119936 130243 134928 160128 179904 260486 269856 359808 390729 520972 539712 781458 1041944 1079424 1172187 1562916 2083888 2344374 3125832 4167776 4688748 6251664 8335552 9377496 12503328 16671104 18754992 25006656 37509984 50013312 75019968 150039936