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20978464 = 2513211239
BaseRepresentation
bin101000000000…
…1101100100000
31110110211001011
41100001230200
520332302324
62025350304
7343212463
oct120015440
943424034
1020978464
1110929481
127038394
1344668c0
142b012da
151c95c94
hex1401b20

20978464 has 48 divisors (see below), whose sum is σ = 44876160. Its totient is φ = 9596160.

The previous prime is 20978431. The next prime is 20978473. The reversal of 20978464 is 46487902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87657 + ... + 87895.

It is an arithmetic number, because the mean of its divisors is an integer number (934920).

Almost surely, 220978464 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 20978464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438080).

20978464 is an abundant number, since it is smaller than the sum of its proper divisors (23897696).

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

20978464 is a wasteful number, since it uses less digits than its factorization.

20978464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 20978464 is about 4580.2253219683. The cubic root of 20978464 is about 275.7980739658.

The spelling of 20978464 in words is "twenty million, nine hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 211 239 416 422 478 844 956 1688 1912 2743 3107 3376 3824 5486 6214 6752 7648 10972 12428 21944 24856 43888 49712 50429 87776 99424 100858 201716 403432 655577 806864 1311154 1613728 2622308 5244616 10489232 20978464