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1221004720 = 2451336947
BaseRepresentation
bin100100011000111…
…0000110110110000
310011002112110121001
41020301300312300
510000034122340
6321054211344
742154240345
oct11061606660
93132473531
101221004720
11577252a11
122a0ab3b54
13165c6a000
14b823a7cc
15722d929a
hex48c70db0

1221004720 has 80 divisors (see below), whose sum is σ = 3075740640. Its totient is φ = 450767616.

The previous prime is 1221004709. The next prime is 1221004727. The reversal of 1221004720 is 274001221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1221004727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172287 + ... + 179233.

It is an arithmetic number, because the mean of its divisors is an integer number (38446758).

Almost surely, 21221004720 is an apocalyptic number.

1221004720 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 1221004720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537870320).

1221004720 is an abundant number, since it is smaller than the sum of its proper divisors (1854735920).

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

1221004720 is an equidigital number, since it uses as much as digits as its factorization.

1221004720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6967 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 1221004720 is about 34942.8779581763. The cubic root of 1221004720 is about 1068.8229756720.

Adding to 1221004720 its reverse (274001221), we get a palindrome (1495005941).

The spelling of 1221004720 in words is "one billion, two hundred twenty-one million, four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2197 2704 3380 4394 6760 6947 8788 10985 13520 13894 17576 21970 27788 34735 35152 43940 55576 69470 87880 90311 111152 138940 175760 180622 277880 361244 451555 555760 722488 903110 1174043 1444976 1806220 2348086 3612440 4696172 5870215 7224880 9392344 11740430 15262559 18784688 23480860 30525118 46961720 61050236 76312795 93923440 122100472 152625590 244200944 305251180 610502360 1221004720