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20709612 = 223271131241
BaseRepresentation
bin100111100000…
…0000011101100
31102222011020200
41033000003230
520300201422
62015513500
7341012610
oct117000354
942864220
1020709612
1110765490
126b28890
1343a1411
142a71340
151c412ac
hex13c00ec

20709612 has 144 divisors (see below), whose sum is σ = 67651584. Its totient is φ = 5184000.

The previous prime is 20709607. The next prime is 20709629. The reversal of 20709612 is 21690702.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85812 + ... + 86052.

Almost surely, 220709612 is an apocalyptic number.

20709612 is a gapful number since it is divisible by the number (22) 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 20709612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33825792).

20709612 is an abundant number, since it is smaller than the sum of its proper divisors (46941972).

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

20709612 is a wasteful number, since it uses less digits than its factorization.

20709612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 20709612 is about 4550.7814713519. The cubic root of 20709612 is about 274.6148304741.

It can be divided in two parts, 20709 and 612, that added together give a triangular number (21321 = T206).

The spelling of 20709612 in words is "twenty million, seven hundred nine thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 241 252 279 308 341 372 396 434 462 482 558 651 682 693 723 868 924 964 1023 1116 1302 1364 1386 1446 1687 1953 2046 2169 2387 2604 2651 2772 2892 3069 3374 3906 4092 4338 4774 5061 5302 6138 6748 7161 7471 7812 7953 8676 9548 10122 10604 12276 14322 14942 15183 15906 18557 20244 21483 22413 23859 28644 29884 30366 31812 37114 42966 44826 47718 52297 55671 60732 67239 74228 82181 85932 89652 95436 104594 111342 134478 156891 164362 167013 209188 222684 246543 268956 313782 328724 334026 470673 493086 575267 627564 668052 739629 941346 986172 1150534 1479258 1725801 1882692 2301068 2958516 3451602 5177403 6903204 10354806 20709612