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99766440 = 23325972857
BaseRepresentation
bin1011111001001…
…01000010101000
320221201122211100
411330211002220
5201020011230
613522201400
72321000154
oct574450250
9227648740
1099766440
1151352004
12294b3260
13178913c7
14d370064
158b5a660
hex5f250a8

99766440 has 96 divisors (see below), whose sum is σ = 327698280. Its totient is φ = 26320896.

The previous prime is 99766427. The next prime is 99766481. The reversal of 99766440 is 4466799.

It can be written as a sum of positive squares in 4 ways, for example, as 84603204 + 15163236 = 9198^2 + 3894^2 .

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

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33492 + ... + 36348.

Almost surely, 299766440 is an apocalyptic number.

99766440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99766440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163849140).

99766440 is an abundant number, since it is smaller than the sum of its proper divisors (227931840).

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

99766440 is a wasteful number, since it uses less digits than its factorization.

99766440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 99766440 is about 9988.3151732412. The cubic root of 99766440 is about 463.7972384997.

The spelling of 99766440 in words is "ninety-nine million, seven hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1455 1746 1940 2328 2857 2910 3492 3880 4365 5714 5820 6984 8571 8730 11428 11640 14285 17142 17460 22856 25713 28570 34284 34920 42855 51426 57140 68568 85710 102852 114280 128565 171420 205704 257130 277129 342840 514260 554258 831387 1028520 1108516 1385645 1662774 2217032 2494161 2771290 3325548 4156935 4988322 5542580 6651096 8313870 9976644 11085160 12470805 16627740 19953288 24941610 33255480 49883220 99766440