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150420032 = 267714729
BaseRepresentation
bin10001111011100…
…11101001000000
3101111001010111022
420331303221000
5302001420112
622532005012
73504356240
oct1075635100
9344033438
10150420032
11779a9884
1242460768
1325218149
1415d97b20
15d313d72
hex8f73a40

150420032 has 56 divisors (see below), whose sum is σ = 346008960. Its totient is φ = 63544320.

The previous prime is 150420019. The next prime is 150420041. The reversal of 150420032 is 230024051.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 29444 + ... + 34172.

Almost surely, 2150420032 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 150420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173004480).

150420032 is an abundant number, since it is smaller than the sum of its proper divisors (195588928).

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

150420032 is an equidigital number, since it uses as much as digits as its factorization.

150420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 150420032 is about 12264.5844609591. The cubic root of 150420032 is about 531.8247675084.

Adding to 150420032 its reverse (230024051), we get a palindrome (380444083).

The spelling of 150420032 in words is "one hundred fifty million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1988 2272 3976 4544 4729 7952 9458 15904 18916 31808 33103 37832 66206 75664 132412 151328 264824 302656 335759 529648 671518 1059296 1343036 2118592 2350313 2686072 4700626 5372144 9401252 10744288 18802504 21488576 37605008 75210016 150420032