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65041380 = 223751487
BaseRepresentation
bin1111100000011…
…1001111100100
311112101110000000
43320013033210
5113122311010
610242021300
71416562005
oct370071744
9145343000
1065041380
1133794608
1219947830
1310623831
1488d11ac
155a9b7c0
hex3e073e4

65041380 has 96 divisors (see below), whose sum is σ = 204986880. Its totient is φ = 17332704.

The previous prime is 65041367. The next prime is 65041381. The reversal of 65041380 is 8314056.

65041380 is a `hidden beast` number, since 650 + 4 + 1 + 3 + 8 + 0 = 666.

It is a super-2 number, since 2×650413802 = 8460762224608800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (65041381) 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, 42997 + ... + 44483.

It is an arithmetic number, because the mean of its divisors is an integer number (2135280).

Almost surely, 265041380 is an apocalyptic number.

65041380 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 65041380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102493440).

65041380 is an abundant number, since it is smaller than the sum of its proper divisors (139945500).

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

65041380 is a wasteful number, since it uses less digits than its factorization.

65041380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 65041380 is about 8064.8236186540. The cubic root of 65041380 is about 402.1578796221.

The spelling of 65041380 in words is "sixty-five million, forty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1487 1620 2187 2430 2916 2974 3645 4374 4461 4860 5948 7290 7435 8748 8922 10935 13383 14580 14870 17844 21870 22305 26766 29740 40149 43740 44610 53532 66915 80298 89220 120447 133830 160596 200745 240894 267660 361341 401490 481788 602235 722682 802980 1084023 1204470 1445364 1806705 2168046 2408940 3252069 3613410 4336092 5420115 6504138 7226820 10840230 13008276 16260345 21680460 32520690 65041380