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11490720 = 253537647
BaseRepresentation
bin101011110101…
…010110100000
3210121210022020
4223311112200
510420200340
61050141440
7166445433
oct53652640
923553266
1011490720
11653916a
123a21880
1324c4257
14175181a
15101e9d0
hexaf55a0

11490720 has 96 divisors (see below), whose sum is σ = 37231488. Its totient is φ = 2976768.

The previous prime is 11490719. The next prime is 11490737. The reversal of 11490720 is 2709411.

11490720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×114907202 = 264073292236800, which contains 22 as substring.

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

It is a zygodrome in base 4.

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, 17437 + ... + 18083.

It is an arithmetic number, because the mean of its divisors is an integer number (387828).

Almost surely, 211490720 is an apocalyptic number.

11490720 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 11490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744).

11490720 is an abundant number, since it is smaller than the sum of its proper divisors (25740768).

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

11490720 is a wasteful number, since it uses less digits than its factorization.

11490720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 11490720 is about 3389.7964540662. The cubic root of 11490720 is about 225.6571405987.

The spelling of 11490720 in words is "eleven million, four hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 647 740 888 1110 1184 1294 1480 1776 1941 2220 2588 2960 3235 3552 3882 4440 5176 5920 6470 7764 8880 9705 10352 12940 15528 17760 19410 20704 23939 25880 31056 38820 47878 51760 62112 71817 77640 95756 103520 119695 143634 155280 191512 239390 287268 310560 359085 383024 478780 574536 718170 766048 957560 1149072 1436340 1915120 2298144 2872680 3830240 5745360 11490720