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20781440 = 275191709
BaseRepresentation
bin100111101000…
…1100110000000
31110002210202222
41033101212000
520310001230
62021230212
7341432201
oct117214600
943083688
1020781440
1110804449
126b62368
1343c8014
142a8d5a8
151c576e5
hex13d1980

20781440 has 64 divisors (see below), whose sum is σ = 52326000. Its totient is φ = 7870464.

The previous prime is 20781437. The next prime is 20781451. The reversal of 20781440 is 4418702.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 11306 + ... + 13014.

Almost surely, 220781440 is an apocalyptic number.

20781440 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 20781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26163000).

20781440 is an abundant number, since it is smaller than the sum of its proper divisors (31544560).

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

20781440 is a wasteful number, since it uses less digits than its factorization.

20781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 20781440 is about 4558.6664716779. Note that the first 3 decimals coincide. The cubic root of 20781440 is about 274.9319501043.

The spelling of 20781440 in words is "twenty million, seven hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 1709 2432 3040 3418 6080 6836 8545 12160 13672 17090 27344 32471 34180 54688 64942 68360 109376 129884 136720 162355 218752 259768 273440 324710 519536 546880 649420 1039072 1093760 1298840 2078144 2597680 4156288 5195360 10390720 20781440