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10942680 = 2335721861
BaseRepresentation
bin101001101111…
…100011011000
3202120221112110
4221233203120
510300131210
61030312320
7162003600
oct51574330
922527473
1010942680
1161a4441
1237b86a0
132361978
14164bc00
15e62420
hexa6f8d8

10942680 has 96 divisors (see below), whose sum is σ = 38208240. Its totient is φ = 2499840.

The previous prime is 10942669. The next prime is 10942699. The reversal of 10942680 is 8624901.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4950 + ... + 6810.

Almost surely, 210942680 is an apocalyptic number.

10942680 is a gapful number since it is divisible by the number (10) 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 10942680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19104120).

10942680 is an abundant number, since it is smaller than the sum of its proper divisors (27265560).

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

10942680 is a wasteful number, since it uses less digits than its factorization.

10942680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10942680 is about 3307.9721885167. The cubic root of 10942680 is about 222.0110375163.

The spelling of 10942680 in words is "ten million, nine hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1861 1960 2940 3722 5583 5880 7444 9305 11166 13027 14888 18610 22332 26054 27915 37220 39081 44664 52108 55830 65135 74440 78162 91189 104216 111660 130270 156324 182378 195405 223320 260540 273567 312648 364756 390810 455945 521080 547134 729512 781620 911890 1094268 1367835 1563240 1823780 2188536 2735670 3647560 5471340 10942680