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6983040 = 27353637
BaseRepresentation
bin11010101000110110000000
3111010202221010
4122220312000
53241424130
6405400520
7113232501
oct32506600
914122833
106983040
113a3a509
122409140
1315a659c
14cdaba8
1592e0b0
hex6a8d80

6983040 has 64 divisors (see below), whose sum is σ = 22264560. Its totient is φ = 1861632.

The previous prime is 6983033. The next prime is 6983057. The reversal of 6983040 is 403896.

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

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 = 6982989 and 6983007.

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, 102 + ... + 3738.

Almost surely, 26983040 is an apocalyptic number.

6983040 is a gapful number since it is divisible by the number (60) 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 6983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11132280).

6983040 is an abundant number, since it is smaller than the sum of its proper divisors (15281520).

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

6983040 is a wasteful number, since it uses less digits than its factorization.

6983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6983040 is about 2642.5442285797. The cubic root of 6983040 is about 191.1385013724.

The spelling of 6983040 in words is "six million, nine hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 3637 7274 10911 14548 18185 21822 29096 36370 43644 54555 58192 72740 87288 109110 116384 145480 174576 218220 232768 290960 349152 436440 465536 581920 698304 872880 1163840 1396608 1745760 2327680 3491520 6983040