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99000090 = 2335731069
BaseRepresentation
bin1011110011010…
…01111100011010
320220021201121000
411321221330122
5200321000330
613453525430
72311326000
oct571517432
9226251530
1099000090
1150979262
12291a3876
1317683647
14d210a70
158a58560
hex5e69f1a

99000090 has 128 divisors (see below), whose sum is σ = 308160000. Its totient is φ = 22607424.

The previous prime is 99000079. The next prime is 99000101. The reversal of 99000090 is 9000099.

It is an interprime number because it is at equal distance from previous prime (99000079) and next prime (99000101).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92076 + ... + 93144.

It is an arithmetic number, because the mean of its divisors is an integer number (2407500).

Almost surely, 299000090 is an apocalyptic number.

99000090 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 99000090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154080000).

99000090 is an abundant number, since it is smaller than the sum of its proper divisors (209159910).

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

99000090 is a wasteful number, since it uses less digits than its factorization.

99000090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 99000090 is about 9949.8788937353. The cubic root of 99000090 is about 462.6066411020.

The spelling of 99000090 in words is "ninety-nine million, ninety", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 343 378 441 490 630 686 735 882 945 1029 1069 1323 1470 1715 1890 2058 2138 2205 2646 3087 3207 3430 4410 5145 5345 6174 6414 6615 7483 9261 9621 10290 10690 13230 14966 15435 16035 18522 19242 22449 28863 30870 32070 37415 44898 46305 48105 52381 57726 67347 74830 92610 96210 104762 112245 134694 144315 157143 202041 224490 261905 288630 314286 336735 366667 404082 471429 523810 673470 733334 785715 942858 1010205 1100001 1414287 1571430 1833335 2020410 2200002 2357145 2828574 3300003 3666670 4714290 5500005 6600006 7071435 9900009 11000010 14142870 16500015 19800018 33000030 49500045 99000090