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20704440 = 2335473671
BaseRepresentation
bin100111011111…
…0110010111000
31102221220011010
41032332302320
520300020230
62015433520
7340661541
oct116766270
942856133
1020704440
1110761609
126b258a0
13439bc63
142a6d4c8
151c3e9b0
hex13becb8

20704440 has 64 divisors (see below), whose sum is σ = 63452160. Its totient is φ = 5402240.

The previous prime is 20704417. The next prime is 20704447. The reversal of 20704440 is 4440702.

20704440 = T29 + T30 + ... + T498.

It is a super-3 number, since 3×207044403 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20704447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3805 + ... + 7475.

It is an arithmetic number, because the mean of its divisors is an integer number (991440).

Almost surely, 220704440 is an apocalyptic number.

20704440 is a gapful number since it is divisible by the number (20) 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 20704440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31726080).

20704440 is an abundant number, since it is smaller than the sum of its proper divisors (42747720).

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

20704440 is a wasteful number, since it uses less digits than its factorization.

20704440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 20704440 is about 4550.2131818191. The cubic root of 20704440 is about 274.5919678832.

The spelling of 20704440 in words is "twenty million, seven hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 3671 5640 7342 11013 14684 18355 22026 29368 36710 44052 55065 73420 88104 110130 146840 172537 220260 345074 440520 517611 690148 862685 1035222 1380296 1725370 2070444 2588055 3450740 4140888 5176110 6901480 10352220 20704440