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150524120 = 23517415399
BaseRepresentation
bin10001111100011…
…01000011011000
3101111020102021102
420332031003120
5302013232440
622534130532
73505301555
oct1076150330
9344212242
10150524120
1177a6aaaa
12424b0a48
1325253636
1415dc3a2c
15d334b15
hex8f8d0d8

150524120 has 64 divisors (see below), whose sum is σ = 367416000. Its totient is φ = 55275520.

The previous prime is 150524119. The next prime is 150524131. The reversal of 150524120 is 21425051.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 150524092 and 150524101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25181 + ... + 30579.

It is an arithmetic number, because the mean of its divisors is an integer number (5740875).

Almost surely, 2150524120 is an apocalyptic number.

150524120 is a gapful number since it is divisible by the number (10) 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 150524120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183708000).

150524120 is an abundant number, since it is smaller than the sum of its proper divisors (216891880).

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

150524120 is a wasteful number, since it uses less digits than its factorization.

150524120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 150524120 is about 12268.8271648108. The cubic root of 150524120 is about 531.9474103328.

Adding to 150524120 its reverse (21425051), we get a palindrome (171949171).

The spelling of 150524120 in words is "one hundred fifty million, five hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 1394 1640 2788 3485 5399 5576 6970 10798 13940 21596 26995 27880 43192 53990 91783 107980 183566 215960 221359 367132 442718 458915 734264 885436 917830 1106795 1770872 1835660 2213590 3671320 3763103 4427180 7526206 8854360 15052412 18815515 30104824 37631030 75262060 150524120