Search a number
-
+
65094400 = 285271453
BaseRepresentation
bin1111100001010…
…0001100000000
311112111010201201
43320110030000
5113131010100
610243110544
71420202410
oct370241400
9145433651
1065094400
1133820428
1219972454
13106419c7
148906640
155aac36a
hex3e14300

65094400 has 108 divisors (see below), whose sum is σ = 184262512. Its totient is φ = 22302720.

The previous prime is 65094397. The next prime is 65094401. The reversal of 65094400 is 449056.

It is a super-2 number, since 2×650944002 = 8474561822720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (65094401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44074 + ... + 45526.

Almost surely, 265094400 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 65094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92131256).

65094400 is an abundant number, since it is smaller than the sum of its proper divisors (119168112).

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

65094400 is a wasteful number, since it uses less digits than its factorization.

65094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 65094400 is about 8068.1100637014. The cubic root of 65094400 is about 402.2671260720.

The spelling of 65094400 in words is "sixty-five million, ninety-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 560 640 700 800 896 1120 1280 1400 1453 1600 1792 2240 2800 2906 3200 4480 5600 5812 6400 7265 8960 10171 11200 11624 14530 20342 22400 23248 29060 36325 40684 44800 46496 50855 58120 72650 81368 92992 101710 116240 145300 162736 185984 203420 232480 254275 290600 325472 371968 406840 464960 508550 581200 650944 813680 929920 1017100 1162400 1301888 1627360 1859840 2034200 2324800 2603776 3254720 4068400 4649600 6509440 8136800 9299200 13018880 16273600 32547200 65094400