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95332680 = 23335103857
BaseRepresentation
bin1011010111010…
…10100101001000
320122101101212000
411223222211020
5143401121210
613243151000
72235212562
oct553524510
9218341760
1095332680
11498a3943
1227b15460
131699b291
14c938332
158581ac0
hex5aea948

95332680 has 128 divisors (see below), whose sum is σ = 321235200. Its totient is φ = 25145856.

The previous prime is 95332663. The next prime is 95332681. The reversal of 95332680 is 8623359.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (95332681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 110812 + ... + 111668.

It is an arithmetic number, because the mean of its divisors is an integer number (2509650).

Almost surely, 295332680 is an apocalyptic number.

95332680 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 95332680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160617600).

95332680 is an abundant number, since it is smaller than the sum of its proper divisors (225902520).

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

95332680 is a wasteful number, since it uses less digits than its factorization.

95332680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 95332680 is about 9763.8455538789. The cubic root of 95332680 is about 456.8222698352.

It can be divided in two parts, 953 and 32680, that added together give a palindrome (33633).

The spelling of 95332680 in words is "ninety-five million, three hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 103 108 120 135 180 206 216 270 309 360 412 515 540 618 824 857 927 1030 1080 1236 1545 1714 1854 2060 2472 2571 2781 3090 3428 3708 4120 4285 4635 5142 5562 6180 6856 7416 7713 8570 9270 10284 11124 12360 12855 13905 15426 17140 18540 20568 22248 23139 25710 27810 30852 34280 37080 38565 46278 51420 55620 61704 77130 88271 92556 102840 111240 115695 154260 176542 185112 231390 264813 308520 353084 441355 462780 529626 706168 794439 882710 925560 1059252 1324065 1588878 1765420 2118504 2383317 2648130 3177756 3530840 3972195 4766634 5296260 6355512 7944390 9533268 10592520 11916585 15888780 19066536 23833170 31777560 47666340 95332680