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10968240 = 2435231987
BaseRepresentation
bin101001110101…
…110010110000
3202122020121010
4221311302300
510301440430
61031030520
7162141243
oct51656260
922566533
1010968240
116211668
12380b440
1323704aa
14165725a
15e69cb0
hexa75cb0

10968240 has 80 divisors (see below), whose sum is σ = 35497728. Its totient is φ = 2796288.

The previous prime is 10968239. The next prime is 10968241. The reversal of 10968240 is 4286901.

10968240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10968239) and next prime (10968241).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 10968198 and 10968207.

It is not an unprimeable number, because it can be changed into a prime (10968241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4527 + ... + 6513.

Almost surely, 210968240 is an apocalyptic number.

10968240 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 10968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17748864).

10968240 is an abundant number, since it is smaller than the sum of its proper divisors (24529488).

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

10968240 is a wasteful number, since it uses less digits than its factorization.

10968240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2020 counting only the distinct ones).

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

The square root of 10968240 is about 3311.8333291396. The cubic root of 10968240 is about 222.1837614920.

The spelling of 10968240 in words is "ten million, nine hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 1987 2760 3974 5520 5961 7948 9935 11922 15896 19870 23844 29805 31792 39740 45701 47688 59610 79480 91402 95376 119220 137103 158960 182804 228505 238440 274206 365608 457010 476880 548412 685515 731216 914020 1096824 1371030 1828040 2193648 2742060 3656080 5484120 10968240