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10614420 = 22325109541
BaseRepresentation
bin101000011111…
…011010010100
3201222021020200
4220133122110
510204130140
61015300500
7156135555
oct50373224
921867220
1010614420
115a9a853
12367a730
13227842b
1415a432c
15dea030
hexa1f694

10614420 has 72 divisors (see below), whose sum is σ = 32552520. Its totient is φ = 2799360.

The previous prime is 10614413. The next prime is 10614463. The reversal of 10614420 is 2441601.

10614420 is a `hidden beast` number, since 10 + 614 + 42 + 0 = 666.

10614420 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 1397124 + 9217296 = 1182^2 + 3036^2 .

It is a super-2 number, since 2×106144202 = 225331823872800, which contains 22 as substring.

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 = 10614393 and 10614402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19350 + ... + 19890.

Almost surely, 210614420 is an apocalyptic number.

10614420 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 10614420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16276260).

10614420 is an abundant number, since it is smaller than the sum of its proper divisors (21938100).

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

10614420 is a wasteful number, since it uses less digits than its factorization.

10614420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10614420 is about 3257.9779004775. The cubic root of 10614420 is about 219.7684892441.

The spelling of 10614420 in words is "ten million, six hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 541 545 654 981 1082 1090 1308 1623 1635 1962 2164 2180 2705 3246 3270 3924 4869 4905 5410 6492 6540 8115 9738 9810 10820 16230 19476 19620 24345 32460 48690 58969 97380 117938 176907 235876 294845 353814 530721 589690 707628 884535 1061442 1179380 1769070 2122884 2653605 3538140 5307210 10614420