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98104320 = 2103252129
BaseRepresentation
bin1011101100011…
…11010000000000
320211121012211100
411312033100000
5200103314240
613422414400
72300605266
oct566172000
9224535740
1098104320
1150417256
1228a31400
131742b9c2
14d05a436
15892ce30
hex5d8f400

98104320 has 132 divisors (see below), whose sum is σ = 340088580. Its totient is φ = 26148864.

The previous prime is 98104319. The next prime is 98104337. The reversal of 98104320 is 2340189.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 68161536 = 5472^2 + 8256^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45016 + ... + 47144.

Almost surely, 298104320 is an apocalyptic number.

98104320 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 98104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170044290).

98104320 is an abundant number, since it is smaller than the sum of its proper divisors (241984260).

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

98104320 is a wasteful number, since it uses less digits than its factorization.

98104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 98104320 is about 9904.7624908425. The cubic root of 98104320 is about 461.2071632724.

The spelling of 98104320 in words is "ninety-eight million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2129 2304 2560 2880 3072 3840 4258 4608 5120 5760 6387 7680 8516 9216 10645 11520 12774 15360 17032 19161 21290 23040 25548 31935 34064 38322 42580 46080 51096 63870 68128 76644 85160 95805 102192 127740 136256 153288 170320 191610 204384 255480 272512 306576 340640 383220 408768 510960 545024 613152 681280 766440 817536 1021920 1090048 1226304 1362560 1532880 1635072 2043840 2180096 2452608 2725120 3065760 3270144 4087680 4905216 5450240 6131520 6540288 8175360 9810432 10900480 12263040 16350720 19620864 24526080 32701440 49052160 98104320