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11664240 = 2435753131
BaseRepresentation
bin101100011111…
…101101110000
3210221121022220
4230133231300
510441223430
61054001040
7201100350
oct54375560
923847286
1011664240
116647575
123aa6180
132555223
141798b60
151056110
hexb1fb70

11664240 has 160 divisors (see below), whose sum is σ = 42425856. Its totient is φ = 2595840.

The previous prime is 11664217. The next prime is 11664253. The reversal of 11664240 is 4246611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11664240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88975 + ... + 89105.

Almost surely, 211664240 is an apocalyptic number.

11664240 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 11664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212928).

11664240 is an abundant number, since it is smaller than the sum of its proper divisors (30761616).

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

11664240 is a wasteful number, since it uses less digits than its factorization.

11664240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 11664240 is about 3415.2950092196. The cubic root of 11664240 is about 226.7873444285.

The spelling of 11664240 in words is "eleven million, six hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 53 56 60 70 80 84 105 106 112 120 131 140 159 168 210 212 240 262 265 280 318 336 371 393 420 424 524 530 560 636 655 742 786 795 840 848 917 1048 1060 1113 1272 1310 1484 1572 1590 1680 1834 1855 1965 2096 2120 2226 2544 2620 2751 2968 3144 3180 3668 3710 3930 4240 4452 4585 5240 5502 5565 5936 6288 6360 6943 7336 7420 7860 8904 9170 10480 11004 11130 12720 13755 13886 14672 14840 15720 17808 18340 20829 22008 22260 27510 27772 29680 31440 34715 36680 41658 44016 44520 48601 55020 55544 69430 73360 83316 89040 97202 104145 110040 111088 138860 145803 166632 194404 208290 220080 243005 277720 291606 333264 388808 416580 486010 555440 583212 729015 777616 833160 972020 1166424 1458030 1666320 1944040 2332848 2916060 3888080 5832120 11664240