Search a number
-
+
99714636 = 22327478419
BaseRepresentation
bin1011111000110…
…00011001001100
320221122000202200
411330120121030
5201011332021
613521121500
72320363140
oct574303114
9227560680
1099714636
115131709a
1229489290
1317873958
14d359220
158b4a126
hex5f1864c

99714636 has 72 divisors (see below), whose sum is σ = 294228480. Its totient is φ = 27880416.

The previous prime is 99714613. The next prime is 99714647. The reversal of 99714636 is 63641799.

99714636 is a `hidden beast` number, since 9 + 9 + 7 + 1 + 4 + 636 = 666.

It is a super-2 number, since 2×997146362 = 19886017265224992, which contains 22 as substring.

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 = 99714591 and 99714600.

It is an unprimeable number.

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, 7635 + ... + 16053.

Almost surely, 299714636 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 99714636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147114240).

99714636 is an abundant number, since it is smaller than the sum of its proper divisors (194513844).

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

99714636 is a wasteful number, since it uses less digits than its factorization.

99714636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483 (or 8478 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 99714636 is about 9985.7216063738. The cubic root of 99714636 is about 463.7169486014.

The spelling of 99714636 in words is "ninety-nine million, seven hundred fourteen thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 5922 8419 11844 16838 25257 33676 50514 58933 75771 101028 117866 151542 176799 235732 303084 353598 395693 530397 707196 791386 1060794 1187079 1582772 2121588 2374158 2769851 3561237 4748316 5539702 7122474 8309553 11079404 14244948 16619106 24928659 33238212 49857318 99714636