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68786688 = 293192357
BaseRepresentation
bin1000001100110…
…01101000000000
311210102201121010
410012121220000
5120102133223
610454200520
71463451165
oct406315000
9153381533
1068786688
1135912503
121b053140
13113354a9
1491c806c
15608b393
hex4199a00

68786688 has 80 divisors (see below), whose sum is σ = 192978720. Its totient is φ = 21712896.

The previous prime is 68786681. The next prime is 68786693. The reversal of 68786688 is 88668786.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (68786681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28006 + ... + 30362.

It is an arithmetic number, because the mean of its divisors is an integer number (2412234).

Almost surely, 268786688 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 68786688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96489360).

68786688 is an abundant number, since it is smaller than the sum of its proper divisors (124192032).

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

68786688 is a wasteful number, since it uses less digits than its factorization.

68786688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2381 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 57.

The square root of 68786688 is about 8293.7740504550. The cubic root of 68786688 is about 409.7334932722.

It can be divided in two parts, 6878 and 6688, that multiplied together give a palindrome (46000064).

The spelling of 68786688 in words is "sixty-eight million, seven hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2357 2432 3648 4714 4864 7071 7296 9428 9728 14142 14592 18856 28284 29184 37712 44783 56568 75424 89566 113136 134349 150848 179132 226272 268698 301696 358264 452544 537396 603392 716528 905088 1074792 1206784 1433056 1810176 2149584 2866112 3620352 4299168 5732224 8598336 11464448 17196672 22928896 34393344 68786688