Search a number
-
+
63678030 = 235132331229
BaseRepresentation
bin1111001011101…
…0011001001110
311102211011211120
43302322121032
5112300144110
610152501410
71402153143
oct362723116
9142734746
1063678030
1132a43279
12193aa866
1310267110
1486583ca
1558cc870
hex3cba64e

63678030 has 128 divisors (see below), whose sum is σ = 178053120. Its totient is φ = 14446080.

The previous prime is 63678019. The next prime is 63678047. The reversal of 63678030 is 3087636.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 63677982 and 63678000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277956 + ... + 278184.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 263678030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63678030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89026560).

63678030 is an abundant number, since it is smaller than the sum of its proper divisors (114375090).

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

63678030 is a wasteful number, since it uses less digits than its factorization.

63678030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 63678030 is about 7979.8515023777. The cubic root of 63678030 is about 399.3281011785.

The spelling of 63678030 in words is "sixty-three million, six hundred seventy-eight thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 31 39 46 62 65 69 78 93 115 130 138 155 186 195 229 230 299 310 345 390 403 458 465 598 687 690 713 806 897 930 1145 1209 1374 1426 1495 1794 2015 2139 2290 2418 2977 2990 3435 3565 4030 4278 4485 5267 5954 6045 6870 7099 7130 8931 8970 9269 10534 10695 12090 14198 14885 15801 17862 18538 21297 21390 26335 27807 29770 31602 35495 42594 44655 46345 52670 55614 68471 70990 79005 89310 92287 92690 106485 136942 139035 158010 163277 184574 205413 212970 276861 278070 326554 342355 410826 461435 489831 553722 684710 816385 922870 979662 1027065 1384305 1632770 2054130 2122601 2449155 2768610 4245202 4898310 6367803 10613005 12735606 21226010 31839015 63678030