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11402240 = 210517131
BaseRepresentation
bin101011011111…
…110000000000
3210110021221012
4223133300000
510404332430
61044220052
7165626453
oct53376000
923407835
1011402240
116488743
12399a628
132492bb5
14172b49a
151003695
hexadfc00

11402240 has 88 divisors (see below), whose sum is σ = 29182032. Its totient is φ = 4259840.

The previous prime is 11402239. The next prime is 11402243. The reversal of 11402240 is 4220411.

11402240 = T16 + T17 + ... + T408.

It is a super-2 number, since 2×114022402 = 260022154035200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11402243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86975 + ... + 87105.

It is an arithmetic number, because the mean of its divisors is an integer number (331614).

Almost surely, 211402240 is an apocalyptic number.

11402240 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 11402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14591016).

11402240 is an abundant number, since it is smaller than the sum of its proper divisors (17779792).

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

11402240 is a wasteful number, since it uses less digits than its factorization.

11402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 11402240 is about 3376.7203023052. The cubic root of 11402240 is about 225.0764513864.

Adding to 11402240 its reverse (4220411), we get a palindrome (15622651).

The spelling of 11402240 in words is "eleven million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 131 136 160 170 256 262 272 320 340 512 524 544 640 655 680 1024 1048 1088 1280 1310 1360 2096 2176 2227 2560 2620 2720 4192 4352 4454 5120 5240 5440 8384 8704 8908 10480 10880 11135 16768 17408 17816 20960 21760 22270 33536 35632 41920 43520 44540 67072 71264 83840 87040 89080 134144 142528 167680 178160 285056 335360 356320 570112 670720 712640 1140224 1425280 2280448 2850560 5701120 11402240