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65342640 = 24351153467
BaseRepresentation
bin1111100101000…
…0110010110000
311112221202020210
43321100302300
5113211431030
610252304120
71422255216
oct371206260
9145852223
1065342640
113397a990
1219a72040
13106ca9ac
14896ccb6
155b0abb0
hex3e50cb0

65342640 has 160 divisors (see below), whose sum is σ = 225628416. Its totient is φ = 15508480.

The previous prime is 65342633. The next prime is 65342647. The reversal of 65342640 is 4624356.

It is an interprime number because it is at equal distance from previous prime (65342633) and next prime (65342647).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 65342598 and 65342607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65342647) 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, 139687 + ... + 140153.

Almost surely, 265342640 is an apocalyptic number.

65342640 is a gapful number since it is divisible by the number (60) 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 65342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112814208).

65342640 is an abundant number, since it is smaller than the sum of its proper divisors (160285776).

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

65342640 is a wasteful number, since it uses less digits than its factorization.

65342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 65342640 is about 8083.4794488512. The cubic root of 65342640 is about 402.7778311463. Note that the first 3 decimals are identical.

Adding to 65342640 its reverse (4624356), we get a palindrome (69966996).

The spelling of 65342640 in words is "sixty-five million, three hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 53 55 60 66 80 88 106 110 120 132 159 165 176 212 220 240 264 265 318 330 424 440 467 528 530 583 636 660 795 848 880 934 1060 1166 1272 1320 1401 1590 1749 1868 2120 2332 2335 2544 2640 2802 2915 3180 3498 3736 4240 4664 4670 5137 5604 5830 6360 6996 7005 7472 8745 9328 9340 10274 11208 11660 12720 13992 14010 15411 17490 18680 20548 22416 23320 24751 25685 27984 28020 30822 34980 37360 41096 46640 49502 51370 56040 61644 69960 74253 77055 82192 99004 102740 112080 123288 123755 139920 148506 154110 198008 205480 246576 247510 272261 297012 308220 371265 396016 410960 495020 544522 594024 616440 742530 816783 990040 1089044 1188048 1232880 1361305 1485060 1633566 1980080 2178088 2722610 2970120 3267132 4083915 4356176 5445220 5940240 6534264 8167830 10890440 13068528 16335660 21780880 32671320 65342640