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99464640 = 2635119419
BaseRepresentation
bin1011110110110…
…11010111000000
320221011022211120
411323123113000
5200430332030
613511512240
72315302242
oct573332700
9227138746
1099464640
1151166290
1229388680
13177b6c22
14d2d2092
158aeb010
hex5edb5c0

99464640 has 112 divisors (see below), whose sum is σ = 344545920. Its totient is φ = 24110080.

The previous prime is 99464593. The next prime is 99464683. The reversal of 99464640 is 4646499.

It is a super-2 number, since 2×994646402 = 19786429220659200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99464592 and 99464601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5851 + ... + 15269.

Almost surely, 299464640 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 99464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172272960).

99464640 is an abundant number, since it is smaller than the sum of its proper divisors (245081280).

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

99464640 is a wasteful number, since it uses less digits than its factorization.

99464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9440 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 99464640 is about 9973.1960774869. The cubic root of 99464640 is about 463.3290938084.

It can be divided in two parts, 9 and 9464640, that added together give a palindrome (9464649).

The spelling of 99464640 in words is "ninety-nine million, four hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 9419 10560 18838 28257 37676 47095 56514 75352 94190 103609 113028 141285 150704 188380 207218 226056 282570 301408 310827 376760 414436 452112 518045 565140 602816 621654 753520 828872 904224 1036090 1130280 1243308 1507040 1554135 1657744 1808448 2072180 2260560 2486616 3014080 3108270 3315488 4144360 4521120 4973232 6216540 6630976 8288720 9042240 9946464 12433080 16577440 19892928 24866160 33154880 49732320 99464640