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99366480 = 24335179257
BaseRepresentation
bin1011110110000…
…11011001010000
320220222100012000
411323003121100
5200414211410
613505434000
72314413123
oct573033120
9226870160
1099366480
11510a9564
122933b900
1317781345
14d2a83ba
158acbdc0
hex5ec3650

99366480 has 160 divisors (see below), whose sum is σ = 345513600. Its totient is φ = 26247168.

The previous prime is 99366457. The next prime is 99366481. The reversal of 99366480 is 8466399.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99366481) 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 31 ways as a sum of consecutive naturals, for example, 386512 + ... + 386768.

It is an arithmetic number, because the mean of its divisors is an integer number (2159460).

Almost surely, 299366480 is an apocalyptic number.

99366480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99366480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172756800).

99366480 is an abundant number, since it is smaller than the sum of its proper divisors (246147120).

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

99366480 is a wasteful number, since it uses less digits than its factorization.

99366480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 99366480 is about 9968.2736720056. The cubic root of 99366480 is about 463.1766263810.

The spelling of 99366480 in words is "ninety-nine million, three hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 179 180 216 240 257 270 358 360 432 514 537 540 716 720 771 895 1028 1074 1080 1285 1432 1542 1611 1790 2056 2148 2160 2313 2570 2685 2864 3084 3222 3580 3855 4112 4296 4626 4833 5140 5370 6168 6444 6939 7160 7710 8055 8592 9252 9666 10280 10740 11565 12336 12888 13878 14320 15420 16110 18504 19332 20560 21480 23130 24165 25776 27756 30840 32220 34695 37008 38664 42960 46003 46260 48330 55512 61680 64440 69390 77328 92006 92520 96660 111024 128880 138009 138780 184012 185040 193320 230015 276018 277560 368024 386640 414027 460030 552036 555120 690045 736048 828054 920060 1104072 1242081 1380090 1656108 1840120 2070135 2208144 2484162 2760180 3312216 3680240 4140270 4968324 5520360 6210405 6624432 8280540 9936648 11040720 12420810 16561080 19873296 24841620 33122160 49683240 99366480