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96973140 = 223511349421
BaseRepresentation
bin1011100011110…
…11000101010100
320202110202010210
411301323011110
5144311120030
613342245420
72255154345
oct561730524
9222422123
1096973140
114a8143a0
1228586870
1317123b74
14cc440cc
1587a7bb0
hex5c7b154

96973140 has 96 divisors (see below), whose sum is σ = 297763200. Its totient is φ = 23385600.

The previous prime is 96973109. The next prime is 96973141. The reversal of 96973140 is 4137969.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96973141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230130 + ... + 230550.

It is an arithmetic number, because the mean of its divisors is an integer number (3101700).

Almost surely, 296973140 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 96973140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148881600).

96973140 is an abundant number, since it is smaller than the sum of its proper divisors (200790060).

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

96973140 is a wasteful number, since it uses less digits than its factorization.

96973140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 96973140 is about 9847.4940974849. The cubic root of 96973140 is about 459.4276751110.

The spelling of 96973140 in words is "ninety-six million, nine hundred seventy-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 349 421 660 698 842 1047 1263 1396 1684 1745 2094 2105 2526 3490 3839 4188 4210 4631 5052 5235 6315 6980 7678 8420 9262 10470 11517 12630 13893 15356 18524 19195 20940 23034 23155 25260 27786 38390 46068 46310 55572 57585 69465 76780 92620 115170 138930 146929 230340 277860 293858 440787 587716 734645 881574 1469290 1616219 1763148 2203935 2938580 3232438 4407870 4848657 6464876 8081095 8815740 9697314 16162190 19394628 24243285 32324380 48486570 96973140