Search a number
-
+
99766632 = 23372232663
BaseRepresentation
bin1011111001001…
…01000101101000
320221201200002110
411330211011220
5201020013012
613522202320
72321000550
oct574450550
9227650073
1099766632
1151352169
12294b33a0
1317891514
14d370160
158b5a73c
hex5f25168

99766632 has 64 divisors (see below), whose sum is σ = 286433280. Its totient is φ = 28366272.

The previous prime is 99766631. The next prime is 99766633. The reversal of 99766632 is 23666799.

It is an interprime number because it is at equal distance from previous prime (99766631) and next prime (99766633).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99766631) 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 15 ways as a sum of consecutive naturals, for example, 36133 + ... + 38795.

It is an arithmetic number, because the mean of its divisors is an integer number (4475520).

Almost surely, 299766632 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 99766632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143216640).

99766632 is an abundant number, since it is smaller than the sum of its proper divisors (186666648).

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

99766632 is a wasteful number, since it uses less digits than its factorization.

99766632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2898 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The square root of 99766632 is about 9988.3247844671. The cubic root of 99766632 is about 463.7975360247.

The spelling of 99766632 in words is "ninety-nine million, seven hundred sixty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 223 446 669 892 1338 1561 1784 2663 2676 3122 4683 5326 5352 6244 7989 9366 10652 12488 15978 18641 18732 21304 31956 37282 37464 55923 63912 74564 111846 149128 223692 447384 593849 1187698 1781547 2375396 3563094 4156943 4750792 7126188 8313886 12470829 14252376 16627772 24941658 33255544 49883316 99766632