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11398320 = 243451759
BaseRepresentation
bin101011011110…
…110010110000
3210110002120000
4223132302300
510404221240
61044150000
7165612153
oct53366260
923402500
1011398320
1164857aa
123998300
13249118b
141729c9a
151002430
hexadecb0

11398320 has 100 divisors (see below), whose sum is σ = 39610560. Its totient is φ = 3037824.

The previous prime is 11398301. The next prime is 11398367. The reversal of 11398320 is 2389311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5601 + ... + 7359.

Almost surely, 211398320 is an apocalyptic number.

11398320 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 11398320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19805280).

11398320 is an abundant number, since it is smaller than the sum of its proper divisors (28212240).

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

11398320 is a wasteful number, since it uses less digits than its factorization.

11398320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 11398320 is about 3376.1398075317. The cubic root of 11398320 is about 225.0506552616.

Subtracting from 11398320 its reverse (2389311), we obtain a palindrome (9009009).

It can be divided in two parts, 113983 and 20, that added together give a triangular number (114003 = T477).

The spelling of 11398320 in words is "eleven million, three hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 1759 2160 3240 3518 5277 6480 7036 8795 10554 14072 15831 17590 21108 26385 28144 31662 35180 42216 47493 52770 63324 70360 79155 84432 94986 105540 126648 140720 142479 158310 189972 211080 237465 253296 284958 316620 379944 422160 474930 569916 633240 712395 759888 949860 1139832 1266480 1424790 1899720 2279664 2849580 3799440 5699160 11398320