Search a number
-
+
51620220 = 22335109877
BaseRepresentation
bin1100010011101…
…0100101111100
310121010120122000
43010322211330
5101203321340
65042222300
71164523161
oct304724574
9117116560
1051620220
1127158043
1215354990
13a904a12
146bda068
1547e9d30
hex313a97c

51620220 has 96 divisors (see below), whose sum is σ = 162254400. Its totient is φ = 13623552.

The previous prime is 51620209. The next prime is 51620227. The reversal of 51620220 is 2202615.

It is a super-2 number, since 2×516202202 = 5329294225696800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 51620193 and 51620202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51620227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58422 + ... + 59298.

It is an arithmetic number, because the mean of its divisors is an integer number (1690150).

Almost surely, 251620220 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 51620220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81127200).

51620220 is an abundant number, since it is smaller than the sum of its proper divisors (110634180).

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

51620220 is a wasteful number, since it uses less digits than its factorization.

51620220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 51620220 is about 7184.7212889576. The cubic root of 51620220 is about 372.3402194484.

Adding to 51620220 its reverse (2202615), we get a palindrome (53822835).

It can be divided in two parts, 516 and 20220, that added together give a 4-th power (20736 = 124).

The spelling of 51620220 in words is "fifty-one million, six hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 109 135 180 218 270 327 436 540 545 654 877 981 1090 1308 1635 1754 1962 2180 2631 2943 3270 3508 3924 4385 4905 5262 5886 6540 7893 8770 9810 10524 11772 13155 14715 15786 17540 19620 23679 26310 29430 31572 39465 47358 52620 58860 78930 94716 95593 118395 157860 191186 236790 286779 382372 473580 477965 573558 860337 955930 1147116 1433895 1720674 1911860 2581011 2867790 3441348 4301685 5162022 5735580 8603370 10324044 12905055 17206740 25810110 51620220