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20072556 = 2233723793
BaseRepresentation
bin100110010010…
…0100001101100
31101202210101000
41030210201230
520114310211
61554120300
7332420400
oct114444154
941683330
1020072556
111036a899
126880090
13420a46a
142947100
151b67656
hex132486c

20072556 has 72 divisors (see below), whose sum is σ = 60552240. Its totient is φ = 5733504.

The previous prime is 20072543. The next prime is 20072561. The reversal of 20072556 is 65527002.

It is a super-3 number, since 3×200725563 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3396 + ... + 7188.

Almost surely, 220072556 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 20072556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30276120).

20072556 is an abundant number, since it is smaller than the sum of its proper divisors (40479684).

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

20072556 is a wasteful number, since it uses less digits than its factorization.

20072556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 20072556 is about 4480.2406185382. The cubic root of 20072556 is about 271.7696109956.

Adding to 20072556 its reverse (65527002), we get a palindrome (85599558).

The spelling of 20072556 in words is "twenty million, seventy-two thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 3793 5292 7586 11379 15172 22758 26551 34137 45516 53102 68274 79653 102411 106204 136548 159306 185857 204822 238959 318612 371714 409644 477918 557571 716877 743428 955836 1115142 1433754 1672713 2230284 2867508 3345426 5018139 6690852 10036278 20072556