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95978540 = 22572341727
BaseRepresentation
bin1011011100010…
…00010000101100
320200121012210202
411232020100230
5144032303130
613305053032
72243542550
oct556102054
9220535722
1095978540
114a1a5109
1228187178
1316b66248
14ca65860
15865d145
hex5b8842c

95978540 has 96 divisors (see below), whose sum is σ = 246564864. Its totient is φ = 30666240.

The previous prime is 95978521. The next prime is 95978569. The reversal of 95978540 is 4587959.

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 31 ways as a sum of consecutive naturals, for example, 131657 + ... + 132383.

It is an arithmetic number, because the mean of its divisors is an integer number (2568384).

Almost surely, 295978540 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 95978540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123282432).

95978540 is an abundant number, since it is smaller than the sum of its proper divisors (150586324).

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

95978540 is a wasteful number, since it uses less digits than its factorization.

95978540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 47.

The square root of 95978540 is about 9796.8637838851. The cubic root of 95978540 is about 457.8515756347.

The spelling of 95978540 in words is "ninety-five million, nine hundred seventy-eight thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 41 46 70 82 92 115 140 161 164 205 230 287 322 410 460 574 644 727 805 820 943 1148 1435 1454 1610 1886 2870 2908 3220 3635 3772 4715 5089 5740 6601 7270 9430 10178 13202 14540 16721 18860 20356 25445 26404 29807 33005 33442 50890 59614 66010 66884 83605 101780 117047 119228 132020 149035 167210 208649 234094 298070 334420 417298 468188 585235 596140 685561 834596 1043245 1170470 1371122 2086490 2340940 2742244 3427805 4172980 4798927 6855610 9597854 13711220 19195708 23994635 47989270 95978540