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1220876680 = 23541267271
BaseRepresentation
bin100100011000101…
…0001100110001000
310011002021221221211
41020301101212020
510000021023210
6321051342504
742153165142
oct11061214610
93132257854
101220876680
115771757a1
122a0a51a34
13165c2394a
14b8205c92
15722b138a
hex48c51988

1220876680 has 96 divisors (see below), whose sum is σ = 2868174720. Its totient is φ = 467596800.

The previous prime is 1220876659. The next prime is 1220876719. The reversal of 1220876680 is 866780221.

1220876680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4504945 + ... + 4505215.

It is an arithmetic number, because the mean of its divisors is an integer number (29876820).

Almost surely, 21220876680 is an apocalyptic number.

1220876680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220876680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434087360).

1220876680 is an abundant number, since it is smaller than the sum of its proper divisors (1647298040).

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

1220876680 is a wasteful number, since it uses less digits than its factorization.

1220876680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 1220876680 is about 34941.0457771372. The cubic root of 1220876680 is about 1068.7856138515.

It can be divided in two parts, 12208 and 76680, that added together give a palindrome (88888).

The spelling of 1220876680 in words is "one billion, two hundred twenty million, eight hundred seventy-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 67 82 134 164 205 268 271 328 335 410 536 542 670 820 1084 1340 1355 1640 1681 2168 2680 2710 2747 3362 5420 5494 6724 8405 10840 10988 11111 13448 13735 16810 18157 21976 22222 27470 33620 36314 44444 54940 55555 67240 72628 88888 90785 109880 111110 112627 145256 181570 222220 225254 363140 444440 450508 455551 563135 726280 744437 901016 911102 1126270 1488874 1822204 2252540 2277755 2977748 3644408 3722185 4505080 4555510 5955496 7444370 9111020 14888740 18222040 29777480 30521917 61043834 122087668 152609585 244175336 305219170 610438340 1220876680