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11219364 = 22331361131
BaseRepresentation
bin101010110011…
…000110100100
3210010000002000
4222303012210
510333004424
61040245300
7164235342
oct52630644
923100060
1011219364
116373302
123910830
13242a8a0
1416c0992
15eb93c9
hexab31a4

11219364 has 96 divisors (see below), whose sum is σ = 32081280. Its totient is φ = 3369600.

The previous prime is 11219339. The next prime is 11219389. The reversal of 11219364 is 46391211.

It is an interprime number because it is at equal distance from previous prime (11219339) and next prime (11219389).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85579 + ... + 85709.

It is an arithmetic number, because the mean of its divisors is an integer number (334180).

Almost surely, 211219364 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 11219364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16040640).

11219364 is an abundant number, since it is smaller than the sum of its proper divisors (20861916).

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

11219364 is a wasteful number, since it uses less digits than its factorization.

11219364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 11219364 is about 3349.5319075954. The cubic root of 11219364 is about 223.8666563952.

The spelling of 11219364 in words is "eleven million, two hundred nineteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 108 117 122 131 156 183 234 244 262 351 366 393 468 524 549 702 732 786 793 1098 1179 1404 1572 1586 1647 1703 2196 2358 2379 3172 3294 3406 3537 4716 4758 5109 6588 6812 7074 7137 7991 9516 10218 14148 14274 15327 15982 20436 21411 23973 28548 30654 31964 42822 45981 47946 61308 71919 85644 91962 95892 103883 143838 183924 207766 215757 287676 311649 415532 431514 623298 863028 934947 1246596 1869894 2804841 3739788 5609682 11219364