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99420768 = 25321918169
BaseRepresentation
bin1011110110100…
…00101001100000
320221002002122200
411323100221200
5200422431033
613510533200
72315030316
oct573205140
9227062580
1099420768
1151136327
1229367200
131779cc75
14d2c00b6
158add013
hex5ed0a60

99420768 has 72 divisors (see below), whose sum is σ = 297624600. Its totient is φ = 31394304.

The previous prime is 99420767. The next prime is 99420781. The reversal of 99420768 is 86702499.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99420767) 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, 3613 + ... + 14556.

It is an arithmetic number, because the mean of its divisors is an integer number (4133675).

Almost surely, 299420768 is an apocalyptic number.

It is an amenable number.

99420768 is an abundant number, since it is smaller than the sum of its proper divisors (198203832).

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

99420768 is a wasteful number, since it uses less digits than its factorization.

99420768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18204 (or 18193 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 99420768 is about 9970.9963393835. The cubic root of 99420768 is about 463.2609618459.

The spelling of 99420768 in words is "ninety-nine million, four hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 18169 36338 54507 72676 109014 145352 163521 218028 290704 327042 345211 436056 581408 654084 690422 872112 1035633 1308168 1380844 1744224 2071266 2616336 2761688 3106899 4142532 5232672 5523376 6213798 8285064 11046752 12427596 16570128 24855192 33140256 49710384 99420768