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11697240 = 2335107911
BaseRepresentation
bin101100100111…
…110001011000
3211000021121010
4230213301120
510443302430
61054413520
7201265512
oct54476130
924007533
1011697240
11666a345
123b012a0
132567259
1417a6bb2
151060cb0
hexb27c58

11697240 has 64 divisors (see below), whose sum is σ = 35458560. Its totient is φ = 3086720.

The previous prime is 11697233. The next prime is 11697251. The reversal of 11697240 is 4279611.

It is a happy number.

11697240 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 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 = 11697198 and 11697207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12385 + ... + 13295.

It is an arithmetic number, because the mean of its divisors is an integer number (554040).

Almost surely, 211697240 is an apocalyptic number.

11697240 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 11697240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729280).

11697240 is an abundant number, since it is smaller than the sum of its proper divisors (23761320).

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

11697240 is a wasteful number, since it uses less digits than its factorization.

11697240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 11697240 is about 3420.1228048127. The cubic root of 11697240 is about 227.0010156048.

The spelling of 11697240 in words is "eleven million, six hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 911 1070 1284 1605 1822 2140 2568 2733 3210 3644 4280 4555 5466 6420 7288 9110 10932 12840 13665 18220 21864 27330 36440 54660 97477 109320 194954 292431 389908 487385 584862 779816 974770 1169724 1462155 1949540 2339448 2924310 3899080 5848620 11697240