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99468810 = 2345753331
BaseRepresentation
bin1011110110111…
…00011000001010
320221011112120000
411323130120022
5200431000220
613511543430
72315320350
oct573343012
9227145500
1099468810
1151169431
122938ab76
13177b8aac
14d2d37d0
158aec390
hex5edc60a

99468810 has 160 divisors (see below), whose sum is σ = 312377472. Its totient is φ = 22239360.

The previous prime is 99468797. The next prime is 99468823. The reversal of 99468810 is 1886499.

It is an interprime number because it is at equal distance from previous prime (99468797) and next prime (99468823).

It is a super-2 number, since 2×994688102 = 19788088325632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 300345 + ... + 300675.

Almost surely, 299468810 is an apocalyptic number.

99468810 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99468810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156188736).

99468810 is an abundant number, since it is smaller than the sum of its proper divisors (212908662).

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

99468810 is a wasteful number, since it uses less digits than its factorization.

99468810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 99468810 is about 9973.4051356595. The cubic root of 99468810 is about 463.3355686566.

The spelling of 99468810 in words is "ninety-nine million, four hundred sixty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 81 90 105 106 126 135 159 162 189 210 265 270 315 318 331 371 378 405 477 530 567 630 662 742 795 810 945 954 993 1113 1134 1431 1590 1655 1855 1890 1986 2226 2317 2385 2835 2862 2979 3310 3339 3710 4293 4634 4770 4965 5565 5670 5958 6678 6951 7155 8586 8937 9930 10017 11130 11585 13902 14310 14895 16695 17543 17874 20034 20853 21465 23170 26811 29790 30051 33390 34755 35086 41706 42930 44685 50085 52629 53622 60102 62559 69510 87715 89370 100170 104265 105258 122801 125118 134055 150255 157887 175430 187677 208530 245602 263145 268110 300510 312795 315774 368403 375354 473661 526290 614005 625590 736806 789435 938385 947322 1105209 1228010 1420983 1578870 1842015 1876770 2210418 2368305 2841966 3315627 3684030 4736610 5526045 6631254 7104915 9946881 11052090 14209830 16578135 19893762 33156270 49734405 99468810