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11496996 = 22327431061
BaseRepresentation
bin101011110110…
…111000100100
3210122002220200
4223312320210
510420400441
61050230500
7166502640
oct53667044
923562820
1011496996
116542955
123a25430
1324c7074
141753c20
1510217b6
hexaf6e24

11496996 has 72 divisors (see below), whose sum is σ = 34017984. Its totient is φ = 3205440.

The previous prime is 11496983. The next prime is 11496997. The reversal of 11496996 is 69969411.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11496997) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10306 + ... + 11366.

It is an arithmetic number, because the mean of its divisors is an integer number (472472).

Almost surely, 211496996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11496996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008992).

11496996 is an abundant number, since it is smaller than the sum of its proper divisors (22520988).

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

11496996 is a wasteful number, since it uses less digits than its factorization.

11496996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1116 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 11496996 is about 3390.7220469982. The cubic root of 11496996 is about 225.6982162509.

The spelling of 11496996 in words is "eleven million, four hundred ninety-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1061 1204 1548 1806 2122 2709 3183 3612 4244 5418 6366 7427 9549 10836 12732 14854 19098 22281 29708 38196 44562 45623 66843 89124 91246 133686 136869 182492 267372 273738 319361 410607 547476 638722 821214 958083 1277444 1642428 1916166 2874249 3832332 5748498 11496996