Search a number
-
+
99941436 = 223271741569
BaseRepresentation
bin1011111010011…
…11110000111100
320222001112212200
411331033300330
5201041111221
613530031500
72322326310
oct575176074
9228045780
1099941436
1151461531
1229578590
1317922c5a
14d3b7b40
158b92426
hex5f4fc3c

99941436 has 144 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 26173440.

The previous prime is 99941321. The next prime is 99941447. The reversal of 99941436 is 63414999.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 99941391 and 99941400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175360 + ... + 175928.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 299941436 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 99941436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

99941436 is an abundant number, since it is smaller than the sum of its proper divisors (213768324).

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

99941436 is a wasteful number, since it uses less digits than its factorization.

99941436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 639 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 99941436 is about 9997.0713711567. The cubic root of 99941436 is about 464.0682556644.

The spelling of 99941436 in words is "ninety-nine million, nine hundred forty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 41 42 51 63 68 82 84 102 119 123 126 153 164 204 238 246 252 287 306 357 369 476 492 569 574 612 697 714 738 861 1071 1138 1148 1394 1428 1476 1707 1722 2091 2142 2276 2583 2788 3414 3444 3983 4182 4284 4879 5121 5166 6273 6828 7966 8364 9673 9758 10242 10332 11949 12546 14637 15932 19346 19516 20484 23329 23898 25092 29019 29274 35847 38692 43911 46658 47796 58038 58548 67711 69987 71694 87057 87822 93316 116076 135422 139974 143388 163303 174114 175644 203133 209961 270844 279948 326606 348228 396593 406266 419922 489909 609399 653212 793186 812532 839844 979818 1189779 1218798 1469727 1586372 1959636 2379558 2437596 2776151 2939454 3569337 4759116 5552302 5878908 7138674 8328453 11104604 14277348 16656906 24985359 33313812 49970718 99941436