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68714496 = 21532233
BaseRepresentation
bin1000001100010…
…00000000000000
311210022001120100
410012020000000
5120042330441
610452442400
71463030544
oct406100000
9153261510
1068714496
1135873244
121b019400
131130b686
1491a9a24
156074cb6
hex4188000

68714496 has 96 divisors (see below), whose sum is σ = 199357470. Its totient is φ = 22806528.

The previous prime is 68714467. The next prime is 68714519. The reversal of 68714496 is 69441786.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 3686400 = 8064^2 + 1920^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294796 + ... + 295028.

Almost surely, 268714496 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 68714496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99678735).

68714496 is an abundant number, since it is smaller than the sum of its proper divisors (130642974).

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

68714496 is an equidigital number, since it uses as much as digits as its factorization.

68714496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 238 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 68714496 is about 8289.4207276504. The cubic root of 68714496 is about 409.5901039276.

The spelling of 68714496 in words is "sixty-eight million, seven hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 233 256 288 384 466 512 576 699 768 932 1024 1152 1398 1536 1864 2048 2097 2304 2796 3072 3728 4096 4194 4608 5592 6144 7456 8192 8388 9216 11184 12288 14912 16384 16776 18432 22368 24576 29824 32768 33552 36864 44736 49152 59648 67104 73728 89472 98304 119296 134208 147456 178944 238592 268416 294912 357888 477184 536832 715776 954368 1073664 1431552 1908736 2147328 2863104 3817472 4294656 5726208 7634944 8589312 11452416 17178624 22904832 34357248 68714496