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11398080 = 263531383
BaseRepresentation
bin101011011110…
…101111000000
3210110002020010
4223132233000
510404214310
61044144520
7165611361
oct53365700
923402203
1011398080
116485601
123998140
132491035
141729b68
151002320
hexadebc0

11398080 has 112 divisors (see below), whose sum is σ = 37453824. Its totient is φ = 2933760.

The previous prime is 11398063. The next prime is 11398091. The reversal of 11398080 is 8089311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 29569 + ... + 29951.

Almost surely, 211398080 is an apocalyptic number.

11398080 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 11398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18726912).

11398080 is an abundant number, since it is smaller than the sum of its proper divisors (26055744).

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

11398080 is a wasteful number, since it uses less digits than its factorization.

11398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 11398080 is about 3376.1042637928. The cubic root of 11398080 is about 225.0490757149.

The spelling of 11398080 in words is "eleven million, three hundred ninety-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 383 465 480 496 620 744 766 930 960 992 1149 1240 1488 1532 1860 1915 1984 2298 2480 2976 3064 3720 3830 4596 4960 5745 5952 6128 7440 7660 9192 9920 11490 11873 12256 14880 15320 18384 22980 23746 24512 29760 30640 35619 36768 45960 47492 59365 61280 71238 73536 91920 94984 118730 122560 142476 178095 183840 189968 237460 284952 356190 367680 379936 474920 569904 712380 759872 949840 1139808 1424760 1899680 2279616 2849520 3799360 5699040 11398080