Search a number
-
+
99239040 = 273355743
BaseRepresentation
bin1011110101001…
…00010010000000
320220201212101000
411322210102000
5200401122130
613503012000
72313342435
oct572442200
9226655330
1099239040
115102183a
122929a000
1317738334
14d273b8c
158aa4260
hex5ea4480

99239040 has 128 divisors (see below), whose sum is σ = 351532800. Its totient is φ = 26459136.

The previous prime is 99239039. The next prime is 99239053. The reversal of 99239040 is 4093299.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 99238986 and 99239004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14409 + ... + 20151.

It is an arithmetic number, because the mean of its divisors is an integer number (2746350).

Almost surely, 299239040 is an apocalyptic number.

99239040 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 99239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175766400).

99239040 is an abundant number, since it is smaller than the sum of its proper divisors (252293760).

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

99239040 is a wasteful number, since it uses less digits than its factorization.

99239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5753 counting only the distinct ones).

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

The square root of 99239040 is about 9961.8793407670. The cubic root of 99239040 is about 462.9785297932.

The spelling of 99239040 in words is "ninety-nine million, two hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5743 5760 8640 11486 17229 17280 22972 28715 34458 45944 51687 57430 68916 86145 91888 103374 114860 137832 155061 172290 183776 206748 229720 258435 275664 310122 344580 367552 413496 459440 516870 551328 620244 689160 735104 775305 826992 918880 1033740 1102656 1240488 1378320 1550610 1653984 1837760 2067480 2205312 2480976 2756640 3101220 3307968 3675520 4134960 4961952 5513280 6202440 6615936 8269920 9923904 11026560 12404880 16539840 19847808 24809760 33079680 49619520 99239040