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99996660 = 22335281659
BaseRepresentation
bin1011111010111…
…01001111110100
320222011100122000
411331131033310
5201044343120
613531135300
72322646311
oct575351764
9228140560
1099996660
1151499a75
12295a4530
131794212a
14d3cdd08
158ba3990
hex5f5d3f4

99996660 has 96 divisors (see below), whose sum is σ = 312681600. Its totient is φ = 26530560.

The previous prime is 99996653. The next prime is 99996667. The reversal of 99996660 is 6669999.

It is an interprime number because it is at equal distance from previous prime (99996653) and next prime (99996667).

It is a super-2 number, since 2×999966602 = 19998664022311200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 99996597 and 99996606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99996667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151411 + ... + 152069.

It is an arithmetic number, because the mean of its divisors is an integer number (3257100).

Almost surely, 299996660 is an apocalyptic number.

99996660 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 99996660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156340800).

99996660 is an abundant number, since it is smaller than the sum of its proper divisors (212684940).

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

99996660 is a wasteful number, since it uses less digits than its factorization.

99996660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The square root of 99996660 is about 9999.8329986055. The cubic root of 99996660 is about 464.1537156682.

The spelling of 99996660 in words is "ninety-nine million, nine hundred ninety-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 281 540 562 659 843 1124 1318 1405 1686 1977 2529 2636 2810 3295 3372 3954 4215 5058 5620 5931 6590 7587 7908 8430 9885 10116 11862 12645 13180 15174 16860 17793 19770 23724 25290 29655 30348 35586 37935 39540 50580 59310 71172 75870 88965 118620 151740 177930 185179 355860 370358 555537 740716 925895 1111074 1666611 1851790 2222148 2777685 3333222 3703580 4999833 5555370 6666444 8333055 9999666 11110740 16666110 19999332 24999165 33332220 49998330 99996660