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1221006640 = 245717128257
BaseRepresentation
bin100100011000111…
…0001010100110000
310011002112120020011
41020301301110300
510000034203030
6321054224304
742154246060
oct11061612460
93132476204
101221006640
115772543a7
122a0ab5094
13165c6ab49
14b823b3a0
15722d9b2a
hex48c71530

1221006640 has 80 divisors (see below), whose sum is σ = 3435262272. Its totient is φ = 394002432.

The previous prime is 1221006637. The next prime is 1221006649. The reversal of 1221006640 is 466001221.

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 (1221006649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54609 + ... + 73648.

Almost surely, 21221006640 is an apocalyptic number.

1221006640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221006640 is an abundant number, since it is smaller than the sum of its proper divisors (2214255632).

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

1221006640 is a wasteful number, since it uses less digits than its factorization.

1221006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128294 (or 128288 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1221006640 is about 34942.9054315751. The cubic root of 1221006640 is about 1068.8235359044.

Adding to 1221006640 its reverse (466001221), we get a palindrome (1687007861).

The spelling of 1221006640 in words is "one billion, two hundred twenty-one million, six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 128257 256514 513028 641285 897799 1026056 1282570 1795598 2052112 2180369 2565140 3591196 4360738 4488995 5130280 7182392 8721476 8977990 10260560 10901845 14364784 15262583 17442952 17955980 21803690 30525166 34885904 35911960 43607380 61050332 71823920 76312915 87214760 122100664 152625830 174429520 244201328 305251660 610503320 1221006640