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20993040 = 243359719
BaseRepresentation
bin101000000010…
…1010000010000
31110111120001000
41100011100100
520333234130
62025542000
7343303125
oct120052020
943446030
1020993040
1110939422
127044900
134470423
142b0674c
151c9a260
hex1405410

20993040 has 80 divisors (see below), whose sum is σ = 72316800. Its totient is φ = 5597568.

The previous prime is 20993039. The next prime is 20993041. The reversal of 20993040 is 4039902.

It is an interprime number because it is at equal distance from previous prime (20993039) and next prime (20993041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20992995 and 20993013.

It is not an unprimeable number, because it can be changed into a prime (20993041) 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, 2700 + ... + 7019.

It is an arithmetic number, because the mean of its divisors is an integer number (903960).

Almost surely, 220993040 is an apocalyptic number.

20993040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20993040 is an abundant number, since it is smaller than the sum of its proper divisors (51323760).

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

20993040 is a wasteful number, since it uses less digits than its factorization.

20993040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9741 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20993040 is about 4581.8162337658. The cubic root of 20993040 is about 275.8619347269.

The spelling of 20993040 in words is "twenty million, nine hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 9719 19438 29157 38876 48595 58314 77752 87471 97190 116628 145785 155504 174942 194380 233256 262413 291570 349884 388760 437355 466512 524826 583140 699768 777520 874710 1049652 1166280 1312065 1399536 1749420 2099304 2332560 2624130 3498840 4198608 5248260 6997680 10496520 20993040