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65740896 = 2534131951
BaseRepresentation
bin1111101011001…
…0000001100000
311120200222120000
43322302001200
5113312202041
610305020000
71425534264
oct372620140
9146628500
1065740896
1134122121
121a024600
131080a050
148a340a4
155b88bb6
hex3eb2060

65740896 has 120 divisors (see below), whose sum is σ = 208321344. Its totient is φ = 20217600.

The previous prime is 65740891. The next prime is 65740919. The reversal of 65740896 is 69804756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65740891) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 32721 + ... + 34671.

Almost surely, 265740896 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 65740896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160672).

65740896 is an abundant number, since it is smaller than the sum of its proper divisors (142580448).

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

65740896 is a wasteful number, since it uses less digits than its factorization.

65740896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 65740896 is about 8108.0759739904. The cubic root of 65740896 is about 403.5944693885.

The spelling of 65740896 in words is "sixty-five million, seven hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 1951 2106 2592 2808 3744 3902 4212 5616 5853 7804 8424 11232 11706 15608 16848 17559 23412 25363 31216 33696 35118 46824 50726 52677 62432 70236 76089 93648 101452 105354 140472 152178 158031 187296 202904 210708 228267 280944 304356 316062 405808 421416 456534 561888 608712 632124 684801 811616 842832 913068 1217424 1264248 1369602 1685664 1826136 2054403 2434848 2528496 2739204 3652272 4108806 5056992 5478408 7304544 8217612 10956816 16435224 21913632 32870448 65740896