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20945640 = 2335237589
BaseRepresentation
bin100111111100…
…1101011101000
31110102011000110
41033321223220
520330230030
62024534320
7343015002
oct117715350
943364013
1020945640
1110906851
1270213a0
134454991
142ad3372
151c8b1b0
hex13f9ae8

20945640 has 64 divisors (see below), whose sum is σ = 65577600. Its totient is φ = 5341952.

The previous prime is 20945623. The next prime is 20945651. The reversal of 20945640 is 4654902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20945598 and 20945607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035 + ... + 6554.

It is an arithmetic number, because the mean of its divisors is an integer number (1024650).

Almost surely, 220945640 is an apocalyptic number.

20945640 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 20945640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32788800).

20945640 is an abundant number, since it is smaller than the sum of its proper divisors (44631960).

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

20945640 is a wasteful number, since it uses less digits than its factorization.

20945640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7622 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 20945640 is about 4576.6406894140. The cubic root of 20945640 is about 275.6541561909.

The spelling of 20945640 in words is "twenty million, nine hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 7589 15178 22767 30356 37945 45534 60712 75890 91068 113835 151780 174547 182136 227670 303560 349094 455340 523641 698188 872735 910680 1047282 1396376 1745470 2094564 2618205 3490940 4189128 5236410 6981880 10472820 20945640