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215000640 = 2632574653
BaseRepresentation
bin11001101000010…
…10011001000000
3112222120011102200
430310022121000
5420020010030
633200113200
75220322011
oct1464123100
9488504380
10215000640
111003a9188
1260005800
133570a01a
14207a9008
1513d1dd60
hexcd0a640

215000640 has 84 divisors (see below), whose sum is σ = 739522524. Its totient is φ = 57332736.

The previous prime is 215000629. The next prime is 215000641. The reversal of 215000640 is 46000512.

It is a happy number.

215000640 is a `hidden beast` number, since 21 + 5 + 0 + 0 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130507776 + 84492864 = 11424^2 + 9192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (215000641) 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, 34447 + ... + 40206.

Almost surely, 2215000640 is an apocalyptic number.

215000640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215000640 is an abundant number, since it is smaller than the sum of its proper divisors (524521884).

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

215000640 is a wasteful number, since it uses less digits than its factorization.

215000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74676 (or 74663 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 215000640 is about 14662.9001224178. The cubic root of 215000640 is about 599.0732359176.

The spelling of 215000640 in words is "two hundred fifteen million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 74653 149306 223959 298612 373265 447918 597224 671877 746530 895836 1119795 1194448 1343754 1493060 1791672 2239590 2388896 2687508 2986120 3359385 3583344 4479180 4777792 5375016 5972240 6718770 7166688 8958360 10750032 11944480 13437540 14333376 17916720 21500064 23888960 26875080 35833440 43000128 53750160 71666880 107500320 215000640