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65242320 = 243511131901
BaseRepresentation
bin1111100011100…
…0010011010000
311112202122122020
43320320103100
5113200223240
610250211440
71421356563
oct370702320
9145678566
1065242320
1133911580
1219a23b80
1310694130
1489444da
155adb0d0
hex3e384d0

65242320 has 160 divisors (see below), whose sum is σ = 237734784. Its totient is φ = 14592000.

The previous prime is 65242273. The next prime is 65242327. The reversal of 65242320 is 2324256.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65242327) 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, 33370 + ... + 35270.

Almost surely, 265242320 is an apocalyptic number.

65242320 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 65242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118867392).

65242320 is an abundant number, since it is smaller than the sum of its proper divisors (172492464).

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

65242320 is a wasteful number, since it uses less digits than its factorization.

65242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 65242320 is about 8077.2718166470. The cubic root of 65242320 is about 402.5715984406.

Adding to 65242320 its reverse (2324256), we get a palindrome (67566576).

The spelling of 65242320 in words is "sixty-five million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 1901 2145 2288 2640 2860 3120 3432 3802 4290 5703 5720 6864 7604 8580 9505 11406 11440 15208 17160 19010 20911 22812 24713 28515 30416 34320 38020 41822 45624 49426 57030 62733 74139 76040 83644 91248 98852 104555 114060 123565 125466 148278 152080 167288 197704 209110 228120 247130 250932 271843 296556 313665 334576 370695 395408 418220 456240 494260 501864 543686 593112 627330 741390 815529 836440 988520 1003728 1087372 1186224 1254660 1359215 1482780 1631058 1672880 1977040 2174744 2509320 2718430 2965560 3262116 4077645 4349488 5018640 5436860 5931120 6524232 8155290 10873720 13048464 16310580 21747440 32621160 65242320