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99879760 = 245172712
BaseRepresentation
bin1011111010000…
…00101101010000
320221221102021101
411331000231100
5201032123020
613524434144
72321651431
oct575005520
9227842241
1099879760
115141a162
1229548954
1317900b66
14d39d488
158b7e00a
hex5f40b50

99879760 has 60 divisors (see below), whose sum is σ = 246791124. Its totient is φ = 37463040.

The previous prime is 99879757. The next prime is 99879763. The reversal of 99879760 is 6797899.

It is an interprime number because it is at equal distance from previous prime (99879757) and next prime (99879763).

It can be written as a sum of positive squares in 2 ways, for example, as 57577744 + 42302016 = 7588^2 + 6504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99879763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368425 + ... + 368695.

Almost surely, 299879760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99879760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123395562).

99879760 is an abundant number, since it is smaller than the sum of its proper divisors (146911364).

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

99879760 is a wasteful number, since it uses less digits than its factorization.

99879760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 55.

The square root of 99879760 is about 9993.9861917055. The cubic root of 99879760 is about 463.9727738682.

The spelling of 99879760 in words is "ninety-nine million, eight hundred seventy-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 271 272 340 542 680 1084 1355 1360 2168 2710 4336 4607 5420 9214 10840 18428 21680 23035 36856 46070 73441 73712 92140 146882 184280 293764 367205 368560 587528 734410 1175056 1248497 1468820 2496994 2937640 4993988 5875280 6242485 9987976 12484970 19975952 24969940 49939880 99879760