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150420456 = 23333731867
BaseRepresentation
bin10001111011100…
…11101111101000
3101111001011002000
420331303233220
5302001423311
622532011000
73504360414
oct1075635750
9344034060
10150420456
11779aa12a
1242460a60
13252183b4
1415d97d44
15d314056
hex8f73be8

150420456 has 64 divisors (see below), whose sum is σ = 419179200. Its totient is φ = 49978944.

The previous prime is 150420421. The next prime is 150420469. The reversal of 150420456 is 654024051.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79635 + ... + 81501.

It is an arithmetic number, because the mean of its divisors is an integer number (6549675).

Almost surely, 2150420456 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 150420456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209589600).

150420456 is an abundant number, since it is smaller than the sum of its proper divisors (268758744).

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

150420456 is a wasteful number, since it uses less digits than its factorization.

150420456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 150420456 is about 12264.6017464898. The cubic root of 150420456 is about 531.8252672058.

The spelling of 150420456 in words is "one hundred fifty million, four hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 373 746 1119 1492 1867 2238 2984 3357 3734 4476 5601 6714 7468 8952 10071 11202 13428 14936 16803 20142 22404 26856 33606 40284 44808 50409 67212 80568 100818 134424 201636 403272 696391 1392782 2089173 2785564 4178346 5571128 6267519 8356692 12535038 16713384 18802557 25070076 37605114 50140152 75210228 150420456