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10641552 = 243475389
BaseRepresentation
bin101000100110…
…000010010000
3202000122110120
4220212002100
510211012202
61020030240
7156310635
oct50460220
922018416
1010641552
116009179
123692380
13228789c
1415b018c
15e030bc
hexa26090

10641552 has 80 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 3367936.

The previous prime is 10641517. The next prime is 10641557. The reversal of 10641552 is 25514601.

It is a super-2 number, since 2×106415522 = 226485257937408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10641557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119524 + ... + 119612.

It is an arithmetic number, because the mean of its divisors is an integer number (361584).

Almost surely, 210641552 is an apocalyptic number.

10641552 is a gapful number since it is divisible by the number (12) 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 10641552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

10641552 is an abundant number, since it is smaller than the sum of its proper divisors (18285168).

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

10641552 is a wasteful number, since it uses less digits than its factorization.

10641552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 10641552 is about 3262.1391754491. The cubic root of 10641552 is about 219.9555833196.

The spelling of 10641552 in words is "ten million, six hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 53 89 94 106 141 159 178 188 212 267 282 318 356 376 424 534 564 636 712 752 848 1068 1128 1272 1424 2136 2256 2491 2544 4183 4272 4717 4982 7473 8366 9434 9964 12549 14151 14946 16732 18868 19928 25098 28302 29892 33464 37736 39856 50196 56604 59784 66928 75472 100392 113208 119568 200784 221699 226416 443398 665097 886796 1330194 1773592 2660388 3547184 5320776 10641552