Search a number
-
+
96678036 = 22357131093
BaseRepresentation
bin1011100001100…
…11000010010100
320201220202100000
411300303002110
5144222144121
613332051300
72252515110
oct560630224
9221822300
1096678036
114a632704
1228463b30
131704c750
14cba8740
15874a526
hex5c33094

96678036 has 144 divisors (see below), whose sum is σ = 312201344. Its totient is φ = 25474176.

The previous prime is 96677969. The next prime is 96678047. The reversal of 96678036 is 63087669.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 96677982 and 96678000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87906 + ... + 88998.

Almost surely, 296678036 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 96678036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156100672).

96678036 is an abundant number, since it is smaller than the sum of its proper divisors (215523308).

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

96678036 is a wasteful number, since it uses less digits than its factorization.

96678036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 96678036 is about 9832.4989702517. The cubic root of 96678036 is about 458.9611654957.

The spelling of 96678036 in words is "ninety-six million, six hundred seventy-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1093 1134 1404 1638 1701 2106 2186 2268 2457 3159 3276 3279 3402 4212 4372 4914 6318 6558 6804 7371 7651 9828 9837 12636 13116 14209 14742 15302 19674 22113 22953 28418 29484 29511 30604 39348 42627 44226 45906 56836 59022 68859 85254 88452 88533 91812 99463 118044 127881 137718 170508 177066 198926 206577 255762 265599 275436 298389 354132 383643 397852 413154 511524 531198 596778 619731 767286 826308 895167 1062396 1150929 1193556 1239462 1534572 1790334 1859193 2301858 2478924 2685501 3452787 3580668 3718386 4603716 5371002 6905574 7436772 8056503 10742004 13811148 16113006 24169509 32226012 48339018 96678036