Search a number
-
+
99094320 = 24335133529
BaseRepresentation
bin1011110100000…
…00111100110000
320220110111212000
411322000330300
5200332004240
613455534000
72312200503
oct572007460
9226414760
1099094320
1150a33036
122922a300
13176b74c0
14d23713a
158a76430
hex5e80f30

99094320 has 160 divisors (see below), whose sum is σ = 367684800. Its totient is φ = 24385536.

The previous prime is 99094319. The next prime is 99094337. The reversal of 99094320 is 2349099.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26316 + ... + 29844.

It is an arithmetic number, because the mean of its divisors is an integer number (2298030).

Almost surely, 299094320 is an apocalyptic number.

99094320 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 99094320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183842400).

99094320 is an abundant number, since it is smaller than the sum of its proper divisors (268590480).

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

99094320 is a wasteful number, since it uses less digits than its factorization.

99094320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 99094320 is about 9954.6130010162. The cubic root of 99094320 is about 462.7533668971.

The spelling of 99094320 in words is "ninety-nine million, ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 3529 4680 5616 7020 7058 9360 10587 14040 14116 17645 21174 28080 28232 31761 35290 42348 45877 52935 56464 63522 70580 84696 91754 95283 105870 127044 137631 141160 158805 169392 183508 190566 211740 229385 254088 275262 282320 317610 367016 381132 412893 423480 458770 476415 508176 550524 635220 688155 734032 762264 825786 846960 917540 952830 1101048 1238679 1270440 1376310 1524528 1651572 1835080 1905660 2064465 2202096 2477358 2540880 2752620 3303144 3670160 3811320 4128930 4954716 5505240 6193395 6606288 7622640 8257860 9909432 11010480 12386790 16515720 19818864 24773580 33031440 49547160 99094320