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90399150 = 232521997109
BaseRepresentation
bin1010110001101…
…10000110101110
320022002202022200
411120312012232
5141120233100
612545322330
72145244242
oct530660656
9208082280
1090399150
1147034246
12263363a6
131596182a
14c012422
157e09e00
hex56361ae

90399150 has 144 divisors (see below), whose sum is σ = 260660400. Its totient is φ = 22394880.

The previous prime is 90399139. The next prime is 90399157. The reversal of 90399150 is 5199309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90399157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 829296 + ... + 829404.

Almost surely, 290399150 is an apocalyptic number.

90399150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90399150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130330200).

90399150 is an abundant number, since it is smaller than the sum of its proper divisors (170261250).

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

90399150 is a wasteful number, since it uses less digits than its factorization.

90399150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 36.

The square root of 90399150 is about 9507.8467593877. The cubic root of 90399150 is about 448.8019986661.

The spelling of 90399150 in words is "ninety million, three hundred ninety-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 97 109 114 150 171 190 194 218 225 285 291 327 342 450 475 485 545 570 582 654 855 873 950 970 981 1090 1425 1455 1635 1710 1746 1843 1962 2071 2425 2725 2850 2910 3270 3686 4142 4275 4365 4850 4905 5450 5529 6213 7275 8175 8550 8730 9215 9810 10355 10573 11058 12426 14550 16350 16587 18430 18639 20710 21146 21825 24525 27645 31065 31719 33174 37278 43650 46075 49050 51775 52865 55290 62130 63438 82935 92150 93195 95157 103550 105730 138225 155325 158595 165870 186390 190314 200887 264325 276450 310650 317190 401774 414675 465975 475785 528650 602661 792975 829350 931950 951570 1004435 1205322 1585950 1807983 2008870 2378925 3013305 3615966 4757850 5022175 6026610 9039915 10044350 15066525 18079830 30133050 45199575 90399150