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11307390 = 2352941317
BaseRepresentation
bin101011001000…
…100101111110
3210021110211020
4223020211332
510343314030
61042205010
7165053103
oct53104576
923243736
1011307390
116423456
123953766
13245b983
141704aaa
15ed5510
hexac897e

11307390 has 64 divisors (see below), whose sum is σ = 28848960. Its totient is φ = 2831360.

The previous prime is 11307377. The next prime is 11307407. The reversal of 11307390 is 9370311.

11307390 is a nontrivial binomial coefficient, being equal to C(4756, 2).

It is a super-2 number, since 2×113073902 = 255714137224200, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 11307390.

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 31 ways as a sum of consecutive naturals, for example, 35512 + ... + 35828.

It is an arithmetic number, because the mean of its divisors is an integer number (450765).

Almost surely, 211307390 is an apocalyptic number.

11307390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11307390 is the 4755-th triangular number and also the 2378-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11307390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424480).

11307390 is an abundant number, since it is smaller than the sum of its proper divisors (17541570).

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

11307390 is a wasteful number, since it uses less digits than its factorization.

11307390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397.

The product of its (nonzero) digits is 567, while the sum is 24.

The square root of 11307390 is about 3362.6462793461. The cubic root of 11307390 is about 224.4506102464.

The spelling of 11307390 in words is "eleven million, three hundred seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 41 58 82 87 123 145 174 205 246 290 317 410 435 615 634 870 951 1189 1230 1585 1902 2378 3170 3567 4755 5945 7134 9193 9510 11890 12997 17835 18386 25994 27579 35670 38991 45965 55158 64985 77982 91930 129970 137895 194955 275790 376913 389910 753826 1130739 1884565 2261478 3769130 5653695 11307390