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20706816 = 293131761
BaseRepresentation
bin100111011111…
…1011000000000
31102222000102010
41032333120000
520300104231
62015452520
7341001504
oct116773000
942860363
1020706816
1110763379
126b27140
1343a0070
142a70304
151c40546
hex13bf600

20706816 has 160 divisors (see below), whose sum is σ = 63933408. Its totient is φ = 5898240.

The previous prime is 20706809. The next prime is 20706821. The reversal of 20706816 is 61860702.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339426 + ... + 339486.

Almost surely, 220706816 is an apocalyptic number.

20706816 is a gapful number since it is divisible by the number (26) 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 20706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31966704).

20706816 is an abundant number, since it is smaller than the sum of its proper divisors (43226592).

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

20706816 is a wasteful number, since it uses less digits than its factorization.

20706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 20706816 is about 4550.4742609974. The cubic root of 20706816 is about 274.6024713559.

The spelling of 20706816 in words is "twenty million, seven hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 61 64 68 78 96 102 104 122 128 136 156 183 192 204 208 221 244 256 272 312 366 384 408 416 442 488 512 544 624 663 732 768 793 816 832 884 976 1037 1088 1248 1326 1464 1536 1586 1632 1664 1768 1952 2074 2176 2379 2496 2652 2928 3111 3172 3264 3328 3536 3904 4148 4352 4758 4992 5304 5856 6222 6344 6528 6656 7072 7808 8296 8704 9516 9984 10608 11712 12444 12688 13056 13481 14144 15616 16592 19032 19968 21216 23424 24888 25376 26112 26962 28288 31232 33184 38064 40443 42432 46848 49776 50752 53924 56576 66368 76128 80886 84864 93696 99552 101504 107848 113152 132736 152256 161772 169728 199104 203008 215696 265472 304512 323544 339456 398208 406016 431392 530944 609024 647088 796416 862784 1218048 1294176 1592832 1725568 2588352 3451136 5176704 6902272 10353408 20706816