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99398640 = 243511231637
BaseRepresentation
bin1011110110010…
…11001111110000
320221000222022010
411323023033300
5200421224030
613510242520
72314605645
oct573131760
9227028263
1099398640
1151120740
1229356440
1317792b83
14d2b5dcc
158ad66b0
hex5ecb3f0

99398640 has 160 divisors (see below), whose sum is σ = 350977536. Its totient is φ = 23034880.

The previous prime is 99398627. The next prime is 99398641. The reversal of 99398640 is 4689399.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 99398640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99398641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59902 + ... + 61538.

Almost surely, 299398640 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 99398640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

99398640 is an abundant number, since it is smaller than the sum of its proper divisors (251578896).

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

99398640 is a wasteful number, since it uses less digits than its factorization.

99398640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 99398640 is about 9969.8866593357. The cubic root of 99398640 is about 463.2265900897.

The spelling of 99398640 in words is "ninety-nine million, three hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1637 1840 2024 2530 2640 2760 3036 3274 3795 4048 4911 5060 5520 6072 6548 7590 8185 9822 10120 12144 13096 15180 16370 18007 19644 20240 24555 26192 30360 32740 36014 37651 39288 49110 54021 60720 65480 72028 75302 78576 90035 98220 108042 112953 130960 144056 150604 180070 188255 196440 216084 225906 270105 288112 301208 360140 376510 392880 414161 432168 451812 540210 564765 602416 720280 753020 828322 864336 903624 1080420 1129530 1242483 1440560 1506040 1656644 1807248 2070805 2160840 2259060 2484966 3012080 3313288 4141610 4321680 4518120 4969932 6212415 6626576 8283220 9036240 9939864 12424830 16566440 19879728 24849660 33132880 49699320 99398640