Search a number
-
+
10696840 = 23571123151
BaseRepresentation
bin101000110011…
…100010001000
3202010110022021
4220303202020
510214244330
61021134224
7156631060
oct50634210
922113267
1010696840
116046770
1236ba374
1322a6abb
1415c63a0
15e1467a
hexa33888

10696840 has 128 divisors (see below), whose sum is σ = 31518720. Its totient is φ = 3168000.

The previous prime is 10696799. The next prime is 10696841. The reversal of 10696840 is 4869601.

It is a super-2 number, since 2×106968402 = 228844771971200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10696796 and 10696805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10696841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70765 + ... + 70915.

It is an arithmetic number, because the mean of its divisors is an integer number (246240).

Almost surely, 210696840 is an apocalyptic number.

10696840 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 10696840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759360).

10696840 is an abundant number, since it is smaller than the sum of its proper divisors (20821880).

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

10696840 is a wasteful number, since it uses less digits than its factorization.

10696840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 10696840 is about 3270.6023909977. The cubic root of 10696840 is about 220.3358506679.

The spelling of 10696840 in words is "ten million, six hundred ninety-six thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 23 28 35 40 44 46 55 56 70 77 88 92 110 115 140 151 154 161 184 220 230 253 280 302 308 322 385 440 460 506 604 616 644 755 770 805 920 1012 1057 1208 1265 1288 1510 1540 1610 1661 1771 2024 2114 2530 3020 3080 3220 3322 3473 3542 4228 5060 5285 6040 6440 6644 6946 7084 8305 8456 8855 10120 10570 11627 13288 13892 14168 16610 17365 17710 21140 23254 24311 27784 33220 34730 35420 38203 42280 46508 48622 58135 66440 69460 70840 76406 93016 97244 116270 121555 138920 152812 191015 194488 232540 243110 267421 305624 382030 465080 486220 534842 764060 972440 1069684 1337105 1528120 2139368 2674210 5348420 10696840