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99897660 = 223251374051
BaseRepresentation
bin1011111010001…
…01000100111100
320221222022211100
411331011010330
5201033211120
613525053100
72322054552
oct575050474
9227868740
1099897660
1151431655
1229557190
1317909055
14d3a5bd2
158b84490
hex5f4513c

99897660 has 72 divisors (see below), whose sum is σ = 305310096. Its totient is φ = 26438400.

The previous prime is 99897641. The next prime is 99897667. The reversal of 99897660 is 6679899.

It is a junction number, because it is equal to n+sod(n) for n = 99897597 and 99897606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99897667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22635 + ... + 26685.

It is an arithmetic number, because the mean of its divisors is an integer number (4240418).

Almost surely, 299897660 is an apocalyptic number.

99897660 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 99897660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152655048).

99897660 is an abundant number, since it is smaller than the sum of its proper divisors (205412436).

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

99897660 is a wasteful number, since it uses less digits than its factorization.

99897660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 99897660 is about 9994.8816901452. The cubic root of 99897660 is about 464.0004892484. Note that the first 3 decimals are identical.

The spelling of 99897660 in words is "ninety-nine million, eight hundred ninety-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1370 1644 2055 2466 2740 4051 4110 4932 6165 8102 8220 12153 12330 16204 20255 24306 24660 36459 40510 48612 60765 72918 81020 121530 145836 182295 243060 364590 554987 729180 1109974 1664961 2219948 2774935 3329922 4994883 5549870 6659844 8324805 9989766 11099740 16649610 19979532 24974415 33299220 49948830 99897660