[go: up one dir, main page]

Search a number
-
+
68781504 = 26311291123
BaseRepresentation
bin1000001100110…
…00010111000000
311210102110111010
410012120113000
5120102002004
610454120520
71463430111
oct406302700
9153373433
1068781504
1135909620
121b050140
131133301c
1491c6208
156089a89
hex41985c0

68781504 has 112 divisors (see below), whose sum is σ = 205557120. Its totient is φ = 20106240.

The previous prime is 68781499. The next prime is 68781527. The reversal of 68781504 is 40518786.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60687 + ... + 61809.

Almost surely, 268781504 is an apocalyptic number.

68781504 is a gapful number since it is divisible by the number (64) 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 68781504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102778560).

68781504 is an abundant number, since it is smaller than the sum of its proper divisors (136775616).

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

68781504 is a wasteful number, since it uses less digits than its factorization.

68781504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 68781504 is about 8293.4615209815. The cubic root of 68781504 is about 409.7232000412.

The spelling of 68781504 in words is "sixty-eight million, seven hundred eighty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 174 176 192 232 264 319 348 352 464 528 638 696 704 928 957 1056 1123 1276 1392 1856 1914 2112 2246 2552 2784 3369 3828 4492 5104 5568 6738 7656 8984 10208 12353 13476 15312 17968 20416 24706 26952 30624 32567 35936 37059 49412 53904 61248 65134 71872 74118 97701 98824 107808 130268 148236 195402 197648 215616 260536 296472 358237 390804 395296 521072 592944 716474 781608 790592 1042144 1074711 1185888 1432948 1563216 2084288 2149422 2371776 2865896 3126432 4298844 5731792 6252864 8597688 11463584 17195376 22927168 34390752 68781504