Search a number
-
+
96884970 = 235713231543
BaseRepresentation
bin1011100011001…
…01100011101010
320202022021012020
411301211203222
5144300304340
613340325310
72254336320
oct561454352
9222267166
1096884970
114a764126
1228543836
13170c29b0
14cc1dd10
15878b9d0
hex5c658ea

96884970 has 128 divisors (see below), whose sum is σ = 298819584. Its totient is φ = 19540224.

The previous prime is 96884959. The next prime is 96884999. The reversal of 96884970 is 7948869.

It is a happy 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, 62019 + ... + 63561.

It is an arithmetic number, because the mean of its divisors is an integer number (2334528).

Almost surely, 296884970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96884970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149409792).

96884970 is an abundant number, since it is smaller than the sum of its proper divisors (201934614).

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

96884970 is a wasteful number, since it uses less digits than its factorization.

96884970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596.

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 96884970 is about 9843.0163059908. The cubic root of 96884970 is about 459.2883924838.

The spelling of 96884970 in words is "ninety-six million, eight hundred eighty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 23 26 30 35 39 42 46 65 69 70 78 91 105 115 130 138 161 182 195 210 230 273 299 322 345 390 455 483 546 598 690 805 897 910 966 1365 1495 1543 1610 1794 2093 2415 2730 2990 3086 4186 4485 4629 4830 6279 7715 8970 9258 10465 10801 12558 15430 20059 20930 21602 23145 31395 32403 35489 40118 46290 54005 60177 62790 64806 70978 100295 106467 108010 120354 140413 162015 177445 200590 212934 248423 280826 300885 324030 354890 421239 461357 496846 532335 601770 702065 745269 842478 922714 1064670 1242115 1384071 1404130 1490538 2106195 2306785 2484230 2768142 3229499 3726345 4212390 4613570 6458998 6920355 7452690 9688497 13840710 16147495 19376994 32294990 48442485 96884970