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20754464 = 2523163173
BaseRepresentation
bin100111100101…
…1000000100000
31110001102202212
41033023000200
520303120324
62020501252
7341260433
oct117130040
943042685
1020754464
1110796155
126b4a828
1343b8963
142a8381a
151c4e70e
hex13cb020

20754464 has 48 divisors (see below), whose sum is σ = 43146432. Its totient is φ = 9808128.

The previous prime is 20754449. The next prime is 20754473. The reversal of 20754464 is 46445702.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 20754464.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119882 + ... + 120054.

It is an arithmetic number, because the mean of its divisors is an integer number (898884).

Almost surely, 220754464 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 20754464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21573216).

20754464 is an abundant number, since it is smaller than the sum of its proper divisors (22391968).

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

20754464 is a wasteful number, since it uses less digits than its factorization.

20754464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 20754464 is about 4555.7067508785. The cubic root of 20754464 is about 274.8129372463.

The spelling of 20754464 in words is "twenty million, seven hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 92 163 173 184 326 346 368 652 692 736 1304 1384 2608 2768 3749 3979 5216 5536 7498 7958 14996 15916 28199 29992 31832 56398 59984 63664 112796 119968 127328 225592 451184 648577 902368 1297154 2594308 5188616 10377232 20754464