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99666160 = 24511373061
BaseRepresentation
bin1011111000011…
…00100011110000
320221112120021021
411330030203300
5201003304120
613520105224
72320101616
oct574144360
9227476237
1099666160
1151293730
1229465214
1317857879
14d3456b6
158b3aaaa
hex5f0c8f0

99666160 has 80 divisors (see below), whose sum is σ = 259706592. Its totient is φ = 35251200.

The previous prime is 99666157. The next prime is 99666167. The reversal of 99666160 is 6166699.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99666167) 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, 31030 + ... + 34090.

Almost surely, 299666160 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 99666160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129853296).

99666160 is an abundant number, since it is smaller than the sum of its proper divisors (160040432).

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

99666160 is a wasteful number, since it uses less digits than its factorization.

99666160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 99666160 is about 9983.2940455543. The cubic root of 99666160 is about 463.6417915085.

The spelling of 99666160 in words is "ninety-nine million, six hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 440 592 740 814 880 1480 1628 2035 2960 3061 3256 4070 6122 6512 8140 12244 15305 16280 24488 30610 32560 33671 48976 61220 67342 113257 122440 134684 168355 226514 244880 269368 336710 453028 538736 566285 673420 906056 1132570 1245827 1346840 1812112 2265140 2491654 2693680 4530280 4983308 6229135 9060560 9966616 12458270 19933232 24916540 49833080 99666160