Search a number
-
+
99682974 = 235443463
BaseRepresentation
bin1011111000100…
…00101010011110
320221120102100000
411330100222132
5201004323344
613520315130
72320201626
oct574205236
9227512300
1099682974
11512a5326
1229472aa6
1317862411
14d34b886
158b40a69
hex5f10a9e

99682974 has 48 divisors (see below), whose sum is σ = 224969472. Its totient is φ = 33081048.

The previous prime is 99682963. The next prime is 99682993. The reversal of 99682974 is 47928699.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 99682974.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215067 + ... + 215529.

It is an arithmetic number, because the mean of its divisors is an integer number (4686864).

Almost surely, 299682974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99682974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112484736).

99682974 is an abundant number, since it is smaller than the sum of its proper divisors (125286498).

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

99682974 is a wasteful number, since it uses less digits than its factorization.

99682974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 911 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 99682974 is about 9984.1361168606. The cubic root of 99682974 is about 463.6678626602.

The spelling of 99682974 in words is "ninety-nine million, six hundred eighty-two thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 443 463 486 886 926 1329 1389 2658 2778 3987 4167 7974 8334 11961 12501 23922 25002 35883 37503 71766 75006 107649 112509 205109 215298 225018 410218 615327 1230654 1845981 3691962 5537943 11075886 16613829 33227658 49841487 99682974