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150020904 = 233112331797
BaseRepresentation
bin10001111000100…
…10001100101000
3101110021211222210
420330102030220
5301401132104
622515245120
73501104505
oct1074221450
9343254883
10150020904
1177756a20
12422a97a0
1325108587
1415cd24ac
15d285989
hex8f12328

150020904 has 128 divisors (see below), whose sum is σ = 441262080. Its totient is φ = 42028800.

The previous prime is 150020867. The next prime is 150020953. The reversal of 150020904 is 409020051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187834 + ... + 188630.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2150020904 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 150020904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

150020904 is an abundant number, since it is smaller than the sum of its proper divisors (291241176).

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

150020904 is a wasteful number, since it uses less digits than its factorization.

150020904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 150020904 is about 12248.3020864118. The cubic root of 150020904 is about 531.3539654612.

Adding to 150020904 its reverse (409020051), we get a palindrome (559040955).

The spelling of 150020904 in words is "one hundred fifty million, twenty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 31 33 44 46 62 66 69 88 92 93 124 132 138 184 186 248 253 264 276 341 372 506 552 682 713 744 759 797 1012 1023 1364 1426 1518 1594 2024 2046 2139 2391 2728 2852 3036 3188 4092 4278 4782 5704 6072 6376 7843 8184 8556 8767 9564 15686 17112 17534 18331 19128 23529 24707 26301 31372 35068 36662 47058 49414 52602 54993 62744 70136 73324 74121 94116 98828 105204 109986 146648 148242 188232 197656 201641 210408 219972 271777 296484 403282 439944 543554 568261 592968 604923 806564 815331 1087108 1136522 1209846 1613128 1630662 1704783 2174216 2273044 2419692 3261324 3409566 4546088 4839384 6250871 6522648 6819132 12501742 13638264 18752613 25003484 37505226 50006968 75010452 150020904