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10993356 = 223211172371
BaseRepresentation
bin101001111011…
…111011001100
3202200112001100
4221323323030
510303241411
61031343100
7162304413
oct51737314
922615040
1010993356
116229520
123821a90
13237ba5a
14166247a
15e72456
hexa7becc

10993356 has 144 divisors (see below), whose sum is σ = 33965568. Its totient is φ = 2956800.

The previous prime is 10993351. The next prime is 10993361. The reversal of 10993356 is 65339901.

It is an interprime number because it is at equal distance from previous prime (10993351) and next prime (10993361).

It is a super-2 number, since 2×109933562 = 241707752285472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10993356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10993351) 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, 154801 + ... + 154871.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 210993356 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 10993356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

10993356 is an abundant number, since it is smaller than the sum of its proper divisors (22972212).

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

10993356 is a wasteful number, since it uses less digits than its factorization.

10993356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 10993356 is about 3315.6230183783. The cubic root of 10993356 is about 222.3532239065.

10993356 divided by its sum of digits (36) gives a triangular number (305371 = T781).

The spelling of 10993356 in words is "ten million, nine hundred ninety-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 23 33 34 36 44 46 51 66 68 69 71 92 99 102 132 138 142 153 187 198 204 207 213 253 276 284 306 374 391 396 414 426 506 561 612 639 748 759 781 782 828 852 1012 1122 1173 1207 1278 1518 1562 1564 1633 1683 2244 2277 2343 2346 2414 2556 3036 3124 3266 3366 3519 3621 4301 4554 4686 4692 4828 4899 6532 6732 7029 7038 7242 8602 9108 9372 9798 10863 12903 13277 14058 14076 14484 14697 17204 17963 19596 21726 25806 26554 27761 28116 29394 35926 38709 39831 43452 51612 53108 53889 55522 58788 71852 77418 79662 83283 107778 111044 119493 154836 159324 161667 166566 215556 238986 249849 305371 323334 333132 477972 499698 610742 646668 916113 999396 1221484 1832226 2748339 3664452 5496678 10993356