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99997660 = 22572233203
BaseRepresentation
bin1011111010111…
…01011111011100
320222011102000001
411331131133130
5201044411120
613531144044
72322652240
oct575353734
9228142001
1099997660
115149a7a4
12295a5024
1317942719
14d3d0420
158ba3e0a
hex5f5d7dc

99997660 has 48 divisors (see below), whose sum is σ = 241145856. Its totient is φ = 34120512.

The previous prime is 99997649. The next prime is 99997669. The reversal of 99997660 is 6679999.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99997669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29619 + ... + 32821.

It is an arithmetic number, because the mean of its divisors is an integer number (5023872).

Almost surely, 299997660 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 99997660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120572928).

99997660 is an abundant number, since it is smaller than the sum of its proper divisors (141148196).

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

99997660 is a wasteful number, since it uses less digits than its factorization.

99997660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 55.

The square root of 99997660 is about 9999.8829993155. The cubic root of 99997660 is about 464.1552628937.

The spelling of 99997660 in words is "ninety-nine million, nine hundred ninety-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 446 892 1115 1561 2230 3122 3203 4460 6244 6406 7805 12812 15610 16015 22421 31220 32030 44842 64060 89684 112105 224210 448420 714269 1428538 2857076 3571345 4999883 7142690 9999766 14285380 19999532 24999415 49998830 99997660