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99110466 = 23871383
BaseRepresentation
bin1011110100001…
…00111001000010
320220111100000000
411322010321002
5200333013331
613500140430
72312265540
oct572047102
9226440000
1099110466
1150a44184
1229237716
13176c1960
14d23cd90
158a7b0e6
hex5e84e42

99110466 has 144 divisors (see below), whose sum is σ = 277752384. Its totient is φ = 25824096.

The previous prime is 99110461. The next prime is 99110471. The reversal of 99110466 is 66401199.

It is an interprime number because it is at equal distance from previous prime (99110461) and next prime (99110471).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 99110466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99110461) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1194061 + ... + 1194143.

It is an arithmetic number, because the mean of its divisors is an integer number (1928836).

Almost surely, 299110466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99110466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138876192).

99110466 is an abundant number, since it is smaller than the sum of its proper divisors (178641918).

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

99110466 is an equidigital number, since it uses as much as digits as its factorization.

99110466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 99110466 is about 9955.4239487829. The cubic root of 99110466 is about 462.7784985430.

The spelling of 99110466 in words is "ninety-nine million, one hundred ten thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 83 91 117 126 162 166 182 189 234 243 249 273 351 378 486 498 546 567 581 702 729 747 819 1053 1079 1134 1162 1458 1494 1638 1701 1743 2106 2158 2187 2241 2457 3159 3237 3402 3486 4374 4482 4914 5103 5229 6318 6474 6561 6723 7371 7553 9477 9711 10206 10458 13122 13446 14742 15106 15309 15687 18954 19422 20169 22113 22659 28431 29133 30618 31374 40338 44226 45318 45927 47061 56862 58266 60507 66339 67977 85293 87399 91854 94122 121014 132678 135954 141183 170586 174798 181521 199017 203931 262197 282366 363042 398034 407862 423549 524394 544563 597051 611793 786591 847098 1089126 1194102 1223586 1270647 1573182 1835379 2359773 2541294 3670758 3811941 4719546 5506137 7079319 7623882 11012274 14158638 16518411 33036822 49555233 99110466