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11693430 = 2335723269
BaseRepresentation
bin101100100110…
…110101110110
3211000002101000
4230212311312
510443142210
61054344130
7201251430
oct54466566
924002330
1011693430
1166674a1
123abb046
1325655b8
1417a5650
15105eac0
hexb26d76

11693430 has 128 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 2547072.

The previous prime is 11693419. The next prime is 11693441. The reversal of 11693430 is 3439611.

It is an interprime number because it is at equal distance from previous prime (11693419) and next prime (11693441).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11693394 and 11693403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43336 + ... + 43604.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 211693430 is an apocalyptic number.

11693430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11693430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

11693430 is an abundant number, since it is smaller than the sum of its proper divisors (25631370).

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

11693430 is a wasteful number, since it uses less digits than its factorization.

11693430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 11693430 is about 3419.5657619060. The cubic root of 11693430 is about 226.9763668333.

It can be divided in two parts, 116934 and 30, that added together give a square (116964 = 3422).

The spelling of 11693430 in words is "eleven million, six hundred ninety-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 90 105 115 126 135 138 161 189 207 210 230 269 270 315 322 345 378 414 483 538 621 630 690 805 807 945 966 1035 1242 1345 1449 1610 1614 1883 1890 2070 2415 2421 2690 2898 3105 3766 4035 4347 4830 4842 5649 6187 6210 7245 7263 8070 8694 9415 11298 12105 12374 14490 14526 16947 18561 18830 21735 24210 28245 30935 33894 36315 37122 43309 43470 50841 55683 56490 61870 72630 84735 86618 92805 101682 111366 129927 167049 169470 185610 216545 254205 259854 278415 334098 389781 433090 508410 556830 649635 779562 835245 1169343 1299270 1670490 1948905 2338686 3897810 5846715 11693430