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119315808 = 2533197701
BaseRepresentation
bin1110001110010…
…01110101100000
322022111212112000
413013021311200
5221021101213
615501204000
72646111333
oct707116540
9268455460
10119315808
1161394807
1233b60600
131b947691
1411bbc61a
15a71cc73
hex71c9d60

119315808 has 96 divisors (see below), whose sum is σ = 350269920. Its totient is φ = 39513600.

The previous prime is 119315797. The next prime is 119315827. The reversal of 119315808 is 808513911.

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

It is a super-3 number, since 3×1193158083 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 169858 + ... + 170558.

It is an arithmetic number, because the mean of its divisors is an integer number (3648645).

Almost surely, 2119315808 is an apocalyptic number.

119315808 is a gapful number since it is divisible by the number (18) 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 119315808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175134960).

119315808 is an abundant number, since it is smaller than the sum of its proper divisors (230954112).

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

119315808 is a wasteful number, since it uses less digits than its factorization.

119315808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 119315808 is about 10923.1775596664. The cubic root of 119315808 is about 492.3032039455.

The spelling of 119315808 in words is "one hundred nineteen million, three hundred fifteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 197 216 288 394 432 591 701 788 864 1182 1402 1576 1773 2103 2364 2804 3152 3546 4206 4728 5319 5608 6304 6309 7092 8412 9456 10638 11216 12618 14184 16824 18912 18927 21276 22432 25236 28368 33648 37854 42552 50472 56736 67296 75708 85104 100944 138097 151416 170208 201888 276194 302832 414291 552388 605664 828582 1104776 1242873 1657164 2209552 2485746 3314328 3728619 4419104 4971492 6628656 7457238 9942984 13257312 14914476 19885968 29828952 39771936 59657904 119315808