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20960400 = 2435217467
BaseRepresentation
bin100111111110…
…1010010010000
31110102220021010
41033331102100
520331213100
62025130520
7343106016
oct117752220
943386233
1020960400
111091694a
127029a40
13445b606
142ad88b6
151c90750
hex13fd490

20960400 has 60 divisors (see below), whose sum is σ = 67146992. Its totient is φ = 5589120.

The previous prime is 20960377. The next prime is 20960413. The reversal of 20960400 is 406902.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 7534 + ... + 9933.

Almost surely, 220960400 is an apocalyptic number.

20960400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20960400 is an abundant number, since it is smaller than the sum of its proper divisors (46186592).

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

20960400 is a wasteful number, since it uses less digits than its factorization.

20960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17488 (or 17477 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20960400 is about 4578.2529418983. The cubic root of 20960400 is about 275.7188904270.

The spelling of 20960400 in words is "twenty million, nine hundred sixty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17467 34934 52401 69868 87335 104802 139736 174670 209604 262005 279472 349340 419208 436675 524010 698680 838416 873350 1048020 1310025 1397360 1746700 2096040 2620050 3493400 4192080 5240100 6986800 10480200 20960400