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119310048 = 253211132897
BaseRepresentation
bin1110001110010…
…00011011100000
322022111120121200
413013020123200
5221020410143
615501121200
72646055464
oct707103340
9268446550
10119310048
1161390450
1233b59200
131b944b80
1411bba4a4
15a71b1d3
hex71c86e0

119310048 has 144 divisors (see below), whose sum is σ = 398741616. Its totient is φ = 33361920.

The previous prime is 119310047. The next prime is 119310053. The reversal of 119310048 is 840013911.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119310047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39736 + ... + 42632.

It is an arithmetic number, because the mean of its divisors is an integer number (2769039).

Almost surely, 2119310048 is an apocalyptic number.

119310048 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 119310048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199370808).

119310048 is an abundant number, since it is smaller than the sum of its proper divisors (279431568).

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

119310048 is a wasteful number, since it uses less digits than its factorization.

119310048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 119310048 is about 10922.9138969416. The cubic root of 119310048 is about 492.2952817985.

Adding to 119310048 its reverse (840013911), we get a palindrome (959323959).

The spelling of 119310048 in words is "one hundred nineteen million, three hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 2897 3168 3432 3744 4576 5148 5794 6864 8691 10296 11588 13728 17382 20592 23176 26073 31867 34764 37661 41184 46352 52146 63734 69528 75322 92704 95601 104292 112983 127468 139056 150644 191202 208584 225966 254936 278112 286803 301288 338949 382404 414271 417168 451932 509872 573606 602576 677898 764808 828542 834336 903864 1019744 1147212 1205152 1242813 1355796 1529616 1657084 1807728 2294424 2485626 2711592 3059232 3314168 3615456 3728439 4588848 4971252 5423184 6628336 7456878 9177696 9942504 10846368 13256672 14913756 19885008 29827512 39770016 59655024 119310048