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65128440 = 23351383503
BaseRepresentation
bin1111100001110…
…0011111111000
311112112212102110
43320130133320
5113133102230
610243532320
71420403556
oct370343770
9145485373
1065128440
1133843a63
121998a0a0
1310654350
148914bd6
155ab74b0
hex3e1c7f8

65128440 has 128 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 15806976.

The previous prime is 65128423. The next prime is 65128457. The reversal of 65128440 is 4482156.

It is an interprime number because it is at equal distance from previous prime (65128423) and next prime (65128457).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 65128398 and 65128407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129229 + ... + 129731.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 265128440 is an apocalyptic number.

65128440 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 65128440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

65128440 is an abundant number, since it is smaller than the sum of its proper divisors (148245000).

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

65128440 is a wasteful number, since it uses less digits than its factorization.

65128440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 65128440 is about 8070.2193278746. The cubic root of 65128440 is about 402.3372334176.

The spelling of 65128440 in words is "sixty-five million, one hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 83 104 120 130 156 166 195 249 260 312 332 390 415 498 503 520 664 780 830 996 1006 1079 1245 1509 1560 1660 1992 2012 2158 2490 2515 3018 3237 3320 4024 4316 4980 5030 5395 6036 6474 6539 7545 8632 9960 10060 10790 12072 12948 13078 15090 16185 19617 20120 21580 25896 26156 30180 32370 32695 39234 41749 43160 52312 60360 64740 65390 78468 83498 98085 125247 129480 130780 156936 166996 196170 208745 250494 261560 333992 392340 417490 500988 542737 626235 784680 834980 1001976 1085474 1252470 1628211 1669960 2170948 2504940 2713685 3256422 4341896 5009880 5427370 6512844 8141055 10854740 13025688 16282110 21709480 32564220 65128440