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4212132320 = 255112393257
BaseRepresentation
bin1111101100010000…
…0000100111100000
3101212112212111021202
43323010000213200
532111301213240
61533544340332
7206244351104
oct37304004740
911775774252
104212132320
1118717033a0
129967746a8
13521865cb6
142bd5b3904
15199bc9315
hexfb1009e0

4212132320 has 48 divisors (see below), whose sum is σ = 10855818288. Its totient is φ = 1531683840.

The previous prime is 4212132311. The next prime is 4212132329. The reversal of 4212132320 is 232312124.

It is an interprime number because it is at equal distance from previous prime (4212132311) and next prime (4212132329).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4212132292 and 4212132301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212132329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1194869 + ... + 1198388.

It is an arithmetic number, because the mean of its divisors is an integer number (226162881).

Almost surely, 24212132320 is an apocalyptic number.

4212132320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212132320 is an abundant number, since it is smaller than the sum of its proper divisors (6643685968).

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

4212132320 is a wasteful number, since it uses less digits than its factorization.

4212132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393283 (or 2393275 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4212132320 is about 64900.9423660396. The cubic root of 4212132320 is about 1614.9806948141.

Adding to 4212132320 its reverse (232312124), we get a palindrome (4444444444).

The spelling of 4212132320 in words is "four billion, two hundred twelve million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2393257 4786514 9573028 11966285 19146056 23932570 26325827 38292112 47865140 52651654 76584224 95730280 105303308 131629135 191460560 210606616 263258270 382921120 421213232 526516540 842426464 1053033080 2106066160 4212132320