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96878340 = 2232513192179
BaseRepresentation
bin1011100011000…
…11111100000100
320202021221002200
411301203330010
5144300101330
613340234500
72254311066
oct561437404
9222257080
1096878340
114a75a149
122853ba30
13170bc980
14cc1b736
158789a60
hex5c63f04

96878340 has 144 divisors (see below), whose sum is σ = 333278400. Its totient is φ = 22581504.

The previous prime is 96878339. The next prime is 96878351. The reversal of 96878340 is 4387869.

It is a happy number.

It is a super-2 number, since 2×968783402 = 18770825522311200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43371 + ... + 45549.

Almost surely, 296878340 is an apocalyptic number.

96878340 is a gapful number since it is divisible by the number (90) 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 96878340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166639200).

96878340 is an abundant number, since it is smaller than the sum of its proper divisors (236400060).

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

96878340 is a wasteful number, since it uses less digits than its factorization.

96878340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 96878340 is about 9842.6795132220. The cubic root of 96878340 is about 459.2779156213.

The spelling of 96878340 in words is "ninety-six million, eight hundred seventy-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2179 2223 2340 2470 2964 3420 3705 4358 4446 4940 6537 7410 8716 8892 10895 11115 13074 14820 19611 21790 22230 26148 28327 32685 39222 41401 43580 44460 56654 65370 78444 82802 84981 98055 113308 124203 130740 141635 165604 169962 196110 207005 248406 254943 283270 339924 372609 392220 414010 424905 496812 509886 538213 566540 621015 745218 828020 849810 1019772 1076426 1242030 1274715 1490436 1614639 1699620 1863045 2152852 2484060 2549430 2691065 3229278 3726090 4843917 5098860 5382130 6458556 7452180 8073195 9687834 10764260 16146390 19375668 24219585 32292780 48439170 96878340