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99691416 = 233211211443
BaseRepresentation
bin1011111000100…
…10101110011000
320221120211220200
411330102232120
5201010111131
613520422200
72320235346
oct574225630
9227524820
1099691416
1151300700
1229477960
1317866206
14d350996
158b432e6
hex5f12b98

99691416 has 72 divisors (see below), whose sum is σ = 296800140. Its totient is φ = 30206880.

The previous prime is 99691409. The next prime is 99691421. The reversal of 99691416 is 61419699.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2991 + ... + 14433.

Almost surely, 299691416 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 99691416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148400070).

99691416 is an abundant number, since it is smaller than the sum of its proper divisors (197108724).

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

99691416 is a wasteful number, since it uses less digits than its factorization.

99691416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11477 (or 11459 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 99691416 is about 9984.5588785885. The cubic root of 99691416 is about 463.6809514002.

The spelling of 99691416 in words is "ninety-nine million, six hundred ninety-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 11443 22886 34329 45772 68658 91544 102987 125873 137316 205974 251746 274632 377619 411948 503492 755238 823896 1006984 1132857 1384603 1510476 2265714 2769206 3020952 4153809 4531428 5538412 8307618 9062856 11076824 12461427 16615236 24922854 33230472 49845708 99691416