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76211420 = 22523292197
BaseRepresentation
bin1001000101011…
…10010011011100
312022101221102012
410202232103130
5124002231140
611321250352
71613533505
oct442562334
9168357365
1076211420
113a02384a
12216339b8
1312a34b1c
14a19bbac
156a56265
hex48ae4dc

76211420 has 72 divisors (see below), whose sum is σ = 173837664. Its totient is φ = 28010752.

The previous prime is 76211419. The next prime is 76211441. The reversal of 76211420 is 2411267.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 386762 + ... + 386958.

It is an arithmetic number, because the mean of its divisors is an integer number (2414412).

Almost surely, 276211420 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 76211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86918832).

76211420 is an abundant number, since it is smaller than the sum of its proper divisors (97626244).

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

76211420 is a wasteful number, since it uses less digits than its factorization.

76211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 76211420 is about 8729.9152344109. The cubic root of 76211420 is about 423.9747745168.

Adding to 76211420 its reverse (2411267), we get a palindrome (78622687).

The spelling of 76211420 in words is "seventy-six million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 197 230 290 394 460 580 667 788 841 985 1334 1682 1970 2668 3335 3364 3940 4205 4531 5713 6670 8410 9062 11426 13340 16820 18124 19343 22655 22852 28565 38686 45310 57130 77372 90620 96715 114260 131399 165677 193430 262798 331354 386860 525596 656995 662708 828385 1313990 1656770 2627980 3313540 3810571 7621142 15242284 19052855 38105710 76211420