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12340020 = 22357112671
BaseRepresentation
bin101111000100…
…101100110100
3212012221022210
4233010230310
511124340040
61120253420
7206613510
oct57045464
925187283
1012340020
116a69270
124171270
1327309b4
1418d3140
15113b480
hexbc4b34

12340020 has 96 divisors (see below), whose sum is σ = 43094016. Its totient is φ = 2563200.

The previous prime is 12340007. The next prime is 12340033. The reversal of 12340020 is 2004321.

Adding to 12340020 its reverse (2004321), we get a palindrome (14344341).

12340020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12340007) and next prime (12340033).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12339978 and 12340005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3285 + ... + 5955.

It is an arithmetic number, because the mean of its divisors is an integer number (448896).

Almost surely, 212340020 is an apocalyptic number.

12340020 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 12340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21547008).

12340020 is an abundant number, since it is smaller than the sum of its proper divisors (30753996).

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

12340020 is a wasteful number, since it uses less digits than its factorization.

12340020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12340020 is about 3512.8364607536. The cubic root of 12340020 is about 231.0851057264.

The spelling of 12340020 in words is "twelve million, three hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 2671 4620 5342 8013 10684 13355 16026 18697 26710 29381 32052 37394 40065 53420 56091 58762 74788 80130 88143 93485 112182 117524 146905 160260 176286 186970 205667 224364 280455 293810 352572 373940 411334 440715 560910 587620 617001 822668 881430 1028335 1121820 1234002 1762860 2056670 2468004 3085005 4113340 6170010 12340020