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11379360 = 2535151157
BaseRepresentation
bin101011011010…
…001010100000
3210102010112210
4223122022200
510403114420
61043522120
7165502656
oct53321240
923363483
1011379360
116472533
123989340
132485665
141722dd6
15eeb9e0
hexada2a0

11379360 has 96 divisors (see below), whose sum is σ = 36312192. Its totient is φ = 2995200.

The previous prime is 11379317. The next prime is 11379371. The reversal of 11379360 is 6397311.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

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, 72402 + ... + 72558.

It is an arithmetic number, because the mean of its divisors is an integer number (378252).

Almost surely, 211379360 is an apocalyptic number.

11379360 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 11379360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18156096).

11379360 is an abundant number, since it is smaller than the sum of its proper divisors (24932832).

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

11379360 is a wasteful number, since it uses less digits than its factorization.

11379360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 11379360 is about 3373.3306982862. The cubic root of 11379360 is about 224.9258026955.

The spelling of 11379360 in words is "eleven million, three hundred seventy-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 151 157 160 240 302 314 453 471 480 604 628 755 785 906 942 1208 1256 1510 1570 1812 1884 2265 2355 2416 2512 3020 3140 3624 3768 4530 4710 4832 5024 6040 6280 7248 7536 9060 9420 12080 12560 14496 15072 18120 18840 23707 24160 25120 36240 37680 47414 71121 72480 75360 94828 118535 142242 189656 237070 284484 355605 379312 474140 568968 711210 758624 948280 1137936 1422420 1896560 2275872 2844840 3793120 5689680 11379360