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66214320 = 24351716229
BaseRepresentation
bin1111110010010…
…1100110110000
311121121000222020
43330211212300
5113422324240
610323111440
71432545444
oct374454660
9147530866
1066214320
1134415887
121a212580
1310944693
148b18824
155c2e0d0
hex3f259b0

66214320 has 80 divisors (see below), whose sum is σ = 217352160. Its totient is φ = 16617472.

The previous prime is 66214307. The next prime is 66214321. The reversal of 66214320 is 2341266.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (66214321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4035 + ... + 12194.

It is an arithmetic number, because the mean of its divisors is an integer number (2716902).

Almost surely, 266214320 is an apocalyptic number.

66214320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66214320 is an abundant number, since it is smaller than the sum of its proper divisors (151137840).

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

66214320 is a wasteful number, since it uses less digits than its factorization.

66214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16262 (or 16256 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 66214320 is about 8137.2181978856. The cubic root of 66214320 is about 404.5609630426.

Adding to 66214320 its reverse (2341266), we get a palindrome (68555586).

The spelling of 66214320 in words is "sixty-six million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 16229 32458 48687 64916 81145 97374 129832 162290 194748 243435 259664 275893 324580 389496 486870 551786 649160 778992 827679 973740 1103572 1298320 1379465 1655358 1947480 2207144 2758930 3310716 3894960 4138395 4414288 5517860 6621432 8276790 11035720 13242864 16553580 22071440 33107160 66214320