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76441420 = 225112315107
BaseRepresentation
bin1001000111001…
…10011101001100
312022211121220201
410203212131030
5124032111140
611330223244
71615512166
oct443463514
9168747821
1076441420
113a170630
1221724b24
1312ab5713
14a21b936
156a9e49a
hex48e674c

76441420 has 48 divisors (see below), whose sum is σ = 182746368. Its totient is φ = 26586560.

The previous prime is 76441399. The next prime is 76441429. The reversal of 76441420 is 2414467.

76441420 = T331 + T332 + ... + T790.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76441429) 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 15 ways as a sum of consecutive naturals, for example, 2494 + ... + 12613.

It is an arithmetic number, because the mean of its divisors is an integer number (3807216).

Almost surely, 276441420 is an apocalyptic number.

It is an amenable number.

76441420 is an abundant number, since it is smaller than the sum of its proper divisors (106304948).

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

76441420 is a wasteful number, since it uses less digits than its factorization.

76441420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15150 (or 15148 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 76441420 is about 8743.0784052300. The cubic root of 76441420 is about 424.4008535550.

Adding to 76441420 its reverse (2414467), we get a palindrome (78855887).

The spelling of 76441420 in words is "seventy-six million, four hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 15107 30214 60428 75535 151070 166177 302140 332354 347461 664708 694922 830885 1389844 1661770 1737305 3323540 3474610 3822071 6949220 7644142 15288284 19110355 38220710 76441420