Search a number
-
+
65155840 = 285109467
BaseRepresentation
bin1111100010001…
…1001100000000
311112121021000021
43320203030000
5113134441330
610244303224
71420546501
oct370431400
9145537007
1065155840
1133862602
12199a1b14
1310663969
148920ba8
155ac067a
hex3e23300

65155840 has 72 divisors (see below), whose sum is σ = 157837680. Its totient is φ = 25767936.

The previous prime is 65155829. The next prime is 65155841. The reversal of 65155840 is 4855156.

It is a happy number.

It is a super-2 number, since 2×651558402 = 8490566972211200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 65155796 and 65155805.

It is not an unprimeable number, because it can be changed into a prime (65155841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139287 + ... + 139753.

It is an arithmetic number, because the mean of its divisors is an integer number (2192190).

Almost surely, 265155840 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 65155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78918840).

65155840 is an abundant number, since it is smaller than the sum of its proper divisors (92681840).

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

65155840 is a wasteful number, since it uses less digits than its factorization.

65155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 65155840 is about 8071.9167488274. The cubic root of 65155840 is about 402.3936475565.

The spelling of 65155840 in words is "sixty-five million, one hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 467 545 640 872 934 1090 1280 1744 1868 2180 2335 3488 3736 4360 4670 6976 7472 8720 9340 13952 14944 17440 18680 27904 29888 34880 37360 50903 59776 69760 74720 101806 119552 139520 149440 203612 254515 298880 407224 509030 597760 814448 1018060 1628896 2036120 3257792 4072240 6515584 8144480 13031168 16288960 32577920 65155840