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1363220430 = 2351113476761
BaseRepresentation
bin101000101000001…
…0001011111001110
310112000010202212120
41101100101133032
510242441023210
6343134313410
745532116405
oct12120213716
93460122776
101363220430
1163a558760
12320658866
13189571a10
14cd09a63c
157ea2c270
hex514117ce

1363220430 has 128 divisors (see below), whose sum is σ = 3926071296. Its totient is φ = 298521600.

The previous prime is 1363220401. The next prime is 1363220449. The reversal of 1363220430 is 340223631.

It is a self number, because there is not a number n which added to its sum of digits gives 1363220430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198250 + ... + 205010.

It is an arithmetic number, because the mean of its divisors is an integer number (30672432).

Almost surely, 21363220430 is an apocalyptic number.

1363220430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1363220430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963035648).

1363220430 is an abundant number, since it is smaller than the sum of its proper divisors (2562850866).

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

1363220430 is a wasteful number, since it uses less digits than its factorization.

1363220430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6842.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 1363220430 is about 36921.8150962273. The cubic root of 1363220430 is about 1108.8054757912.

The spelling of 1363220430 in words is "one billion, three hundred sixty-three million, two hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 47 55 65 66 78 94 110 130 141 143 165 195 235 282 286 330 390 429 470 517 611 705 715 858 1034 1222 1410 1430 1551 1833 2145 2585 3055 3102 3666 4290 5170 6110 6721 6761 7755 9165 13442 13522 15510 18330 20163 20283 33605 33805 40326 40566 67210 67610 74371 87893 100815 101415 148742 175786 201630 202830 223113 263679 317767 371855 439465 446226 527358 635534 743710 878930 953301 966823 1115565 1318395 1588835 1906602 1933646 2231130 2636790 2900469 3177670 3495437 4130971 4766505 4834115 5800938 6990874 8261942 9533010 9668230 10486311 12392913 14502345 17477185 20654855 20972622 24785826 29004690 34954370 41309710 45440681 52431555 61964565 90881362 104863110 123929130 136322043 227203405 272644086 454406810 681610215 1363220430