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20126964 = 223111337317
BaseRepresentation
bin100110011000…
…1110011110100
31101212120000010
41030301303310
520123030324
61555220220
7333035124
oct114616364
941776003
1020126964
11103a7760
1268a7670
134229160
14295cc84
151b78829
hex1331cf4

20126964 has 96 divisors (see below), whose sum is σ = 56843136. Its totient is φ = 5460480.

The previous prime is 20126933. The next prime is 20126983. The reversal of 20126964 is 46962102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63334 + ... + 63650.

It is an arithmetic number, because the mean of its divisors is an integer number (592116).

Almost surely, 220126964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20126964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28421568).

20126964 is an abundant number, since it is smaller than the sum of its proper divisors (36716172).

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

20126964 is a wasteful number, since it uses less digits than its factorization.

20126964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 20126964 is about 4486.3085047732. The cubic root of 20126964 is about 272.0149393467.

The spelling of 20126964 in words is "twenty million, one hundred twenty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 37 39 44 52 66 74 78 111 132 143 148 156 222 286 317 407 429 444 481 572 634 814 858 951 962 1221 1268 1443 1628 1716 1902 1924 2442 2886 3487 3804 4121 4884 5291 5772 6974 8242 10461 10582 11729 12363 13948 15873 16484 20922 21164 23458 24726 31746 35187 41844 45331 46916 49452 63492 70374 90662 129019 135993 140748 152477 181324 258038 271986 304954 387057 457431 516076 543972 609908 774114 914862 1548228 1677247 1829724 3354494 5031741 6708988 10063482 20126964