Search a number
-
+
99707634 = 23213273449
BaseRepresentation
bin1011111000101…
…10101011110010
320221121200011100
411330112223302
5201011121014
613521025230
72320333545
oct574265362
9227550140
1099707634
1151311904
1229485216
1317870700
14d35685c
158b48009
hex5f16af2

99707634 has 72 divisors (see below), whose sum is σ = 237662100. Its totient is φ = 30191616.

The previous prime is 99707623. The next prime is 99707653. The reversal of 99707634 is 43670799.

99707634 is a `hidden beast` number, since 9 + 9 + 7 + 0 + 7 + 634 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21650409 + 78057225 = 4653^2 + 8835^2 .

It is a super-2 number, since 2×997076342 = 19883224555755912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99707634.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 221842 + ... + 222290.

Almost surely, 299707634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99707634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118831050).

99707634 is an abundant number, since it is smaller than the sum of its proper divisors (137954466).

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

99707634 is a wasteful number, since it uses less digits than its factorization.

99707634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 99707634 is about 9985.3709996174. The cubic root of 99707634 is about 463.7060942200.

The spelling of 99707634 in words is "ninety-nine million, seven hundred seven thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 169 219 234 338 438 449 507 657 898 949 1014 1314 1347 1521 1898 2694 2847 3042 4041 5694 5837 8082 8541 11674 12337 17082 17511 24674 32777 35022 37011 52533 65554 74022 75881 98331 105066 111033 151762 196662 222066 227643 294993 426101 455286 589986 682929 852202 1278303 1365858 2556606 3834909 5539313 7669818 11078626 16617939 33235878 49853817 99707634