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13341420 = 22325194783
BaseRepresentation
bin110010111001…
…001011101100
3221002210222200
4302321023230
511403411140
61153541500
7221254161
oct62711354
927083880
1013341420
117592674
124574890
1329c1741
141ab4068
151288030
hexcb92ec

13341420 has 144 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 3259008.

The previous prime is 13341409. The next prime is 13341437. The reversal of 13341420 is 2414331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13341393 and 13341402.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 160699 + ... + 160781.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 213341420 is an apocalyptic number.

13341420 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 13341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

13341420 is an abundant number, since it is smaller than the sum of its proper divisors (30688020).

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

13341420 is a wasteful number, since it uses less digits than its factorization.

13341420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13341420 is about 3652.5908612928. The cubic root of 13341420 is about 237.1741496285.

Adding to 13341420 its reverse (2414331), we get a palindrome (15755751).

The spelling of 13341420 in words is "thirteen million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 47 57 60 76 83 90 94 95 114 141 166 171 180 188 190 228 235 249 282 285 332 342 380 415 423 470 498 564 570 684 705 747 830 846 855 893 940 996 1140 1245 1410 1494 1577 1660 1692 1710 1786 2115 2490 2679 2820 2988 3154 3420 3572 3735 3901 4230 4465 4731 4980 5358 6308 7470 7802 7885 8037 8460 8930 9462 10716 11703 13395 14193 14940 15604 15770 16074 17860 18924 19505 23406 23655 26790 28386 31540 32148 35109 39010 40185 46812 47310 53580 56772 58515 70218 70965 74119 78020 80370 94620 117030 140436 141930 148238 160740 175545 222357 234060 283860 296476 351090 370595 444714 667071 702180 741190 889428 1111785 1334142 1482380 2223570 2668284 3335355 4447140 6670710 13341420