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10913364 = 223271131127
BaseRepresentation
bin101001101000…
…011001010100
3202112110022200
4221220121110
510243211424
61025524500
7161522250
oct51503124
922473280
1010913364
116184410
1237a3730
132351517
141641260
15e588c9
hexa68654

10913364 has 144 divisors (see below), whose sum is σ = 35782656. Its totient is φ = 2721600.

The previous prime is 10913363. The next prime is 10913369. The reversal of 10913364 is 46331901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10913363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85869 + ... + 85995.

Almost surely, 210913364 is an apocalyptic number.

10913364 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 10913364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17891328).

10913364 is an abundant number, since it is smaller than the sum of its proper divisors (24869292).

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

10913364 is a wasteful number, since it uses less digits than its factorization.

10913364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 10913364 is about 3303.5381033068. The cubic root of 10913364 is about 221.8126005575.

The spelling of 10913364 in words is "ten million, nine hundred thirteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 127 132 154 186 198 217 231 252 254 279 308 341 372 381 396 434 462 508 558 651 682 693 762 868 889 924 1023 1116 1143 1302 1364 1386 1397 1524 1778 1953 2046 2286 2387 2604 2667 2772 2794 3069 3556 3906 3937 4092 4191 4572 4774 5334 5588 6138 7161 7812 7874 8001 8382 9548 9779 10668 11811 12276 12573 14322 15748 16002 16764 19558 21483 23622 25146 27559 28644 29337 32004 35433 39116 42966 43307 47244 50292 55118 58674 70866 82677 85932 86614 88011 110236 117348 129921 141732 165354 173228 176022 248031 259842 303149 330708 352044 389763 496062 519684 606298 779526 909447 992124 1212596 1559052 1818894 2728341 3637788 5456682 10913364