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11797240 = 2357213463
BaseRepresentation
bin101101000000…
…001011111000
3211012100202211
4231000023320
511010002430
61100504504
7202163200
oct55001370
924170684
1011797240
116728494
123b4b134
1325a0920
1417d1400
15108072a
hexb402f8

11797240 has 96 divisors (see below), whose sum is σ = 33324480. Its totient is φ = 3725568.

The previous prime is 11797231. The next prime is 11797241. The reversal of 11797240 is 4279711.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11797241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25249 + ... + 25711.

It is an arithmetic number, because the mean of its divisors is an integer number (347130).

Almost surely, 211797240 is an apocalyptic number.

11797240 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 11797240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16662240).

11797240 is an abundant number, since it is smaller than the sum of its proper divisors (21527240).

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

11797240 is a wasteful number, since it uses less digits than its factorization.

11797240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 11797240 is about 3434.7110504379. The cubic root of 11797240 is about 227.6460600523.

The spelling of 11797240 in words is "eleven million, seven hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 463 490 520 637 728 910 926 980 1274 1820 1852 1960 2315 2548 3185 3241 3640 3704 4630 5096 6019 6370 6482 9260 12038 12740 12964 16205 18520 22687 24076 25480 25928 30095 32410 42133 45374 48152 60190 64820 84266 90748 113435 120380 129640 168532 181496 210665 226870 240760 294931 337064 421330 453740 589862 842660 907480 1179724 1474655 1685320 2359448 2949310 5898620 11797240