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11293464 = 2337135171
BaseRepresentation
bin101011000101…
…001100011000
3210020202201110
4223011030120
510342342324
61042020320
7164664360
oct53051430
923222643
1011293464
116413a46
1239476a0
132455530
1416dd9a0
15ed1329
hexac5318

11293464 has 64 divisors (see below), whose sum is σ = 34755840. Its totient is φ = 2977920.

The previous prime is 11293439. The next prime is 11293487. The reversal of 11293464 is 46439211.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 402 + ... + 4769.

It is an arithmetic number, because the mean of its divisors is an integer number (543060).

Almost surely, 211293464 is an apocalyptic number.

11293464 is a gapful number since it is divisible by the number (14) 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 11293464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17377920).

11293464 is an abundant number, since it is smaller than the sum of its proper divisors (23462376).

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

11293464 is a wasteful number, since it uses less digits than its factorization.

11293464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5196 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 11293464 is about 3360.5749508083. The cubic root of 11293464 is about 224.3584291370.

The spelling of 11293464 in words is "eleven million, two hundred ninety-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 5171 10342 15513 20684 31026 36197 41368 62052 67223 72394 108591 124104 134446 144788 201669 217182 268892 289576 403338 434364 470561 537784 806676 868728 941122 1411683 1613352 1882244 2823366 3764488 5646732 11293464