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99885150 = 235528221
BaseRepresentation
bin1011111010000…
…10000001011110
320221221200200000
411331002001132
5201032311100
613524515130
72322003231
oct575020136
9227850600
1099885150
1151423212
122954baa6
1317903451
14d3a1418
158b80900
hex5f4205e

99885150 has 72 divisors (see below), whose sum is σ = 278331144. Its totient is φ = 26632800.

The previous prime is 99885083. The next prime is 99885157. The reversal of 99885150 is 5158899.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 99885096 and 99885105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99885157) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 8040 + ... + 16260.

Almost surely, 299885150 is an apocalyptic number.

99885150 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 99885150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139165572).

99885150 is an abundant number, since it is smaller than the sum of its proper divisors (178445994).

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

99885150 is a wasteful number, since it uses less digits than its factorization.

99885150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8231 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 99885150 is about 9994.2558502372. The cubic root of 99885150 is about 463.9811197976.

The spelling of 99885150 in words is "ninety-nine million, eight hundred eighty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1215 1350 2025 2430 4050 6075 8221 12150 16442 24663 41105 49326 73989 82210 123315 147978 205525 221967 246630 369945 411050 443934 616575 665901 739890 1109835 1233150 1331802 1849725 1997703 2219670 3329505 3699450 3995406 5549175 6659010 9988515 11098350 16647525 19977030 33295050 49942575 99885150