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99826740 = 2232513371153
BaseRepresentation
bin1011111001100…
…11110000110100
320221211201112200
411330303300310
5201023423430
613523344500
72321341026
oct574636064
9227751480
1099826740
1151393342
1229522130
13178b29a0
14d388016
158b6d460
hex5f33c34

99826740 has 144 divisors (see below), whose sum is σ = 335204688. Its totient is φ = 23887872.

The previous prime is 99826733. The next prime is 99826747. The reversal of 99826740 is 4762899.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99826733) and next prime (99826747).

It can be written as a sum of positive squares in 8 ways, for example, as 1340964 + 98485776 = 1158^2 + 9924^2 .

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 (99826747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86004 + ... + 87156.

Almost surely, 299826740 is an apocalyptic number.

99826740 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 99826740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167602344).

99826740 is an abundant number, since it is smaller than the sum of its proper divisors (235377948).

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

99826740 is a wasteful number, since it uses less digits than its factorization.

99826740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 99826740 is about 9991.3332443673. Note that the first 3 decimals coincide. The cubic root of 99826740 is about 463.8906611672.

The spelling of 99826740 in words is "ninety-nine million, eight hundred twenty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 65 74 78 90 111 117 130 148 156 180 185 195 222 234 260 333 370 390 444 468 481 555 585 666 740 780 962 1110 1153 1170 1332 1443 1665 1924 2220 2306 2340 2405 2886 3330 3459 4329 4612 4810 5765 5772 6660 6918 7215 8658 9620 10377 11530 13836 14430 14989 17295 17316 20754 21645 23060 28860 29978 34590 41508 42661 43290 44967 51885 59956 69180 74945 85322 86580 89934 103770 127983 134901 149890 170644 179868 207540 213305 224835 255966 269802 299780 383949 426610 449670 511932 539604 554593 639915 674505 767898 853220 899340 1109186 1279830 1349010 1535796 1663779 1919745 2218372 2559660 2698020 2772965 3327558 3839490 4991337 5545930 6655116 7678980 8318895 9982674 11091860 16637790 19965348 24956685 33275580 49913370 99826740