Search a number
-
+
99630432 = 2533112953
BaseRepresentation
bin1011111000000…
…11110101100000
320221110202021000
411330003311200
5201001133212
613515232000
72316562506
oct574036540
9227422230
1099630432
1151269900
1229448600
1317844525
14d336676
158b301dc
hex5f03d60

99630432 has 144 divisors (see below), whose sum is σ = 319742640. Its totient is φ = 30159360.

The previous prime is 99630431. The next prime is 99630437. The reversal of 99630432 is 23403699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99630431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104068 + ... + 105020.

It is an arithmetic number, because the mean of its divisors is an integer number (2220435).

Almost surely, 299630432 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 99630432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159871320).

99630432 is an abundant number, since it is smaller than the sum of its proper divisors (220112208).

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

99630432 is a wasteful number, since it uses less digits than its factorization.

99630432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 99630432 is about 9981.5044958162. The cubic root of 99630432 is about 463.5863832880.

The spelling of 99630432 in words is "ninety-nine million, six hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 953 968 1056 1089 1188 1452 1584 1906 1936 2178 2376 2859 2904 3168 3267 3812 3872 4356 4752 5718 5808 6534 7624 8577 8712 9504 10483 11436 11616 13068 15248 17154 17424 20966 22872 25731 26136 30496 31449 34308 34848 41932 45744 51462 52272 62898 68616 83864 91488 94347 102924 104544 115313 125796 137232 167728 188694 205848 230626 251592 274464 283041 335456 345939 377388 411696 461252 503184 566082 691878 754776 823392 922504 1006368 1037817 1132164 1383756 1509552 1845008 2075634 2264328 2767512 3019104 3113451 3690016 4151268 4528656 5535024 6226902 8302536 9057312 11070048 12453804 16605072 24907608 33210144 49815216 99630432