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1213889820 = 22351113210883
BaseRepresentation
bin100100001011010…
…0111110100011100
310010121010222210020
41020112213310130
54441223433240
6320241512140
742036615243
oct11026476434
93117128706
101213889820
11573233430
1229a642650
13164648700
14b730795a
15718810d0
hex485a7d1c

1213889820 has 144 divisors (see below), whose sum is σ = 4015412352. Its totient is φ = 271614720.

The previous prime is 1213889797. The next prime is 1213889827. The reversal of 1213889820 is 289883121.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213889827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106099 + ... + 116981.

It is an arithmetic number, because the mean of its divisors is an integer number (27884808).

Almost surely, 21213889820 is an apocalyptic number.

1213889820 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 1213889820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007706176).

1213889820 is an abundant number, since it is smaller than the sum of its proper divisors (2801522532).

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

1213889820 is a wasteful number, since it uses less digits than its factorization.

1213889820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10932 (or 10917 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 1213889820 is about 34840.9216296010. The cubic root of 1213889820 is about 1066.7428888674.

The spelling of 1213889820 in words is "one billion, two hundred thirteen million, eight hundred eighty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 169 195 220 260 286 330 338 390 429 507 572 660 676 715 780 845 858 1014 1430 1690 1716 1859 2028 2145 2535 2860 3380 3718 4290 5070 5577 7436 8580 9295 10140 10883 11154 18590 21766 22308 27885 32649 37180 43532 54415 55770 65298 108830 111540 119713 130596 141479 163245 217660 239426 282958 326490 359139 424437 478852 565916 598565 652980 707395 718278 848874 1197130 1414790 1436556 1556269 1697748 1795695 1839227 2122185 2394260 2829580 3112538 3591390 3678454 4244370 4668807 5517681 6225076 7182780 7356908 7781345 8488740 9196135 9337614 11035362 15562690 18392270 18675228 20231497 22070724 23344035 27588405 31125380 36784540 40462994 46688070 55176810 60694491 80925988 93376140 101157485 110353620 121388982 202314970 242777964 303472455 404629940 606944910 1213889820