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11879840 = 255710607
BaseRepresentation
bin101101010100…
…010110100000
3211100120002002
4231110112200
511020123330
61102343132
7202656050
oct55242640
924316062
1011879840
116784555
123b8aaa8
1325cc3bb
141813560
151099e45
hexb545a0

11879840 has 48 divisors (see below), whose sum is σ = 32078592. Its totient is φ = 4072704.

The previous prime is 11879839. The next prime is 11879843. The reversal of 11879840 is 4897811.

It is a super-2 number, since 2×118798402 = 282261196851200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11879794 and 11879803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11879843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4184 + ... + 6423.

It is an arithmetic number, because the mean of its divisors is an integer number (668304).

Almost surely, 211879840 is an apocalyptic number.

11879840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11879840 is an abundant number, since it is smaller than the sum of its proper divisors (20198752).

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

11879840 is a wasteful number, since it uses less digits than its factorization.

11879840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10629 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 11879840 is about 3446.7143774905. The cubic root of 11879840 is about 228.1761232768.

The spelling of 11879840 in words is "eleven million, eight hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 10607 21214 42428 53035 74249 84856 106070 148498 169712 212140 296996 339424 371245 424280 593992 742490 848560 1187984 1484980 1697120 2375968 2969960 5939920 11879840