Search a number
-
+
10687488 = 21037271
BaseRepresentation
bin101000110001…
…010000000000
3202002222110220
4220301100000
510213444423
61021023040
7156561600
oct50612000
922088426
1010687488
11603a739
1236b4a80
1322a2776
1415c2c00
15e119e3
hexa31400

10687488 has 132 divisors (see below), whose sum is σ = 33603552. Its totient is φ = 3010560.

The previous prime is 10687483. The next prime is 10687489. The reversal of 10687488 is 88478601.

It is a super-2 number, since 2×106874882 = 228444799500288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10687483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150493 + ... + 150563.

Almost surely, 210687488 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 10687488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16801776).

10687488 is an abundant number, since it is smaller than the sum of its proper divisors (22916064).

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

10687488 is an equidigital number, since it uses as much as digits as its factorization.

10687488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 10687488 is about 3269.1723723291. The cubic root of 10687488 is about 220.2716204319.

It can be divided in two parts, 10687 and 488, that added together give a triangular number (11175 = T149).

The spelling of 10687488 in words is "ten million, six hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 71 84 96 98 112 128 142 147 168 192 196 213 224 256 284 294 336 384 392 426 448 497 512 568 588 672 768 784 852 896 994 1024 1136 1176 1344 1491 1536 1568 1704 1792 1988 2272 2352 2688 2982 3072 3136 3408 3479 3584 3976 4544 4704 5376 5964 6272 6816 6958 7168 7952 9088 9408 10437 10752 11928 12544 13632 13916 15904 18176 18816 20874 21504 23856 25088 27264 27832 31808 36352 37632 41748 47712 50176 54528 55664 63616 72704 75264 83496 95424 109056 111328 127232 150528 166992 190848 218112 222656 254464 333984 381696 445312 508928 667968 763392 890624 1335936 1526784 1781248 2671872 3562496 5343744 10687488