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11682840 = 2335137489
BaseRepresentation
bin101100100100…
…010000011000
3210222112211210
4230210100120
510442322330
61054223120
7201205521
oct54442030
923875753
1011682840
11665a544
123ab4aa0
132560830
1417a1848
15105b8b0
hexb24418

11682840 has 64 divisors (see below), whose sum is σ = 37749600. Its totient is φ = 2875392.

The previous prime is 11682833. The next prime is 11682871. The reversal of 11682840 is 4828611.

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 = 11682798 and 11682807.

It is a congruent number.

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, 2185 + ... + 5304.

Almost surely, 211682840 is an apocalyptic number.

11682840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11682840 is an abundant number, since it is smaller than the sum of its proper divisors (26066760).

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

11682840 is a wasteful number, since it uses less digits than its factorization.

11682840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7516 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 11682840 is about 3418.0169689456. The cubic root of 11682840 is about 226.9078267582.

The spelling of 11682840 in words is "eleven million, six hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 7489 14978 22467 29956 37445 44934 59912 74890 89868 97357 112335 149780 179736 194714 224670 292071 299560 389428 449340 486785 584142 778856 898680 973570 1168284 1460355 1947140 2336568 2920710 3894280 5841420 11682840