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10612420 = 225741317
BaseRepresentation
bin101000011110…
…111011000100
3201222011111121
4220132323010
510204044140
61015243324
7156130000
oct50367304
921864447
1010612420
115a992a5
123679544
132277550
1415a3700
15de964a
hexa1eec4

10612420 has 120 divisors (see below), whose sum is σ = 29645784. Its totient is φ = 3161088.

The previous prime is 10612417. The next prime is 10612421. The reversal of 10612420 is 2421601.

10612420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 9834496 = 882^2 + 3136^2 .

It is a super-2 number, since 2×106124202 = 225246916512800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10612394 and 10612403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10612421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 624252 + ... + 624268.

Almost surely, 210612420 is an apocalyptic number.

10612420 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 10612420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822892).

10612420 is an abundant number, since it is smaller than the sum of its proper divisors (19033364).

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

10612420 is a wasteful number, since it uses less digits than its factorization.

10612420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10612420 is about 3257.6709471646. The cubic root of 10612420 is about 219.7546852369.

It can be divided in two parts, 1061 and 2420, that added together give a square (3481 = 592).

The spelling of 10612420 in words is "ten million, six hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 49 52 65 68 70 85 91 98 119 130 140 170 182 196 221 238 245 260 340 343 364 442 455 476 490 595 637 686 833 884 910 980 1105 1190 1274 1372 1547 1666 1715 1820 2210 2380 2401 2548 3094 3185 3332 3430 4165 4420 4459 4802 5831 6188 6370 6860 7735 8330 8918 9604 10829 11662 12005 12740 15470 16660 17836 21658 22295 23324 24010 29155 30940 31213 40817 43316 44590 48020 54145 58310 62426 75803 81634 89180 108290 116620 124852 151606 156065 163268 204085 216580 303212 312130 379015 408170 530621 624260 758030 816340 1061242 1516060 2122484 2653105 5306210 10612420