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6990100 = 22521319283
BaseRepresentation
bin11010101010100100010100
3111011010121121
4122222210110
53242140400
6405453324
7113262205
oct32524424
914133547
106990100
113a44847
122411244
1315a9870
14cdd5ac
1593121a
hex6aa914

6990100 has 72 divisors (see below), whose sum is σ = 17255840. Its totient is φ = 2436480.

The previous prime is 6990059. The next prime is 6990107. The reversal of 6990100 is 10996.

It is a super-2 number, since 2×69901002 = 97722996020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6990107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24559 + ... + 24841.

Almost surely, 26990100 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 6990100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8627920).

6990100 is an abundant number, since it is smaller than the sum of its proper divisors (10265740).

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

6990100 is a wasteful number, since it uses less digits than its factorization.

6990100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 6990100 is about 2643.8797249497. The cubic root of 6990100 is about 191.2028946884.

The spelling of 6990100 in words is "six million, nine hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 283 325 380 475 494 566 650 950 988 1132 1235 1300 1415 1900 2470 2830 3679 4940 5377 5660 6175 7075 7358 10754 12350 14150 14716 18395 21508 24700 26885 28300 36790 53770 69901 73580 91975 107540 134425 139802 183950 268850 279604 349505 367900 537700 699010 1398020 1747525 3495050 6990100