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11830096 = 2417233161
BaseRepresentation
bin101101001000…
…001101010000
3211021000211201
4231020031100
511012030341
61101320544
7202361035
oct55101520
924230751
1011830096
116750143
123b66154
1325b2875
1417dd38c
15108a331
hexb48350

11830096 has 80 divisors (see below), whose sum is σ = 26569728. Its totient is φ = 5068800.

The previous prime is 11830081. The next prime is 11830163. The reversal of 11830096 is 69003811.

It is a happy number.

It is a congruent number.

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, 193906 + ... + 193966.

Almost surely, 211830096 is an apocalyptic number.

11830096 is a gapful number since it is divisible by the number (16) 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 11830096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284864).

11830096 is an abundant number, since it is smaller than the sum of its proper divisors (14739632).

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

11830096 is a wasteful number, since it uses less digits than its factorization.

11830096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 11830096 is about 3439.4906599670. The cubic root of 11830096 is about 227.8572000032.

The spelling of 11830096 in words is "eleven million, eight hundred thirty thousand, ninety-six".

Divisors: 1 2 4 8 16 17 23 31 34 46 61 62 68 92 122 124 136 184 244 248 272 368 391 488 496 527 713 782 976 1037 1054 1403 1426 1564 1891 2074 2108 2806 2852 3128 3782 4148 4216 5612 5704 6256 7564 8296 8432 11224 11408 12121 15128 16592 22448 23851 24242 30256 32147 43493 47702 48484 64294 86986 95404 96968 128588 173972 190808 193936 257176 347944 381616 514352 695888 739381 1478762 2957524 5915048 11830096