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76370121 = 349712
BaseRepresentation
bin1001000110101…
…01000011001001
312022201000010000
410203111003021
5124022320441
611324513213
71615064262
oct443250311
9168630100
1076370121
113a122003
12216ab809
1312a8c129
14a1dd969
156a882b6
hex48d50c9

76370121 has 15 divisors (see below), whose sum is σ = 114201373. Its totient is φ = 50860980.

The previous prime is 76370113. The next prime is 76370149. The reversal of 76370121 is 12107367.

The square root of 76370121 is 8739.

It is a perfect power (a square), and thus also a powerful number.

76370121 is a `hidden beast` number, since 7 + 637 + 0 + 1 + 21 = 666.

It is not a de Polignac number, because 76370121 - 23 = 76370113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (76370111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 78166 + ... + 79136.

Almost surely, 276370121 is an apocalyptic number.

76370121 is the 8739-th square number.

76370121 is the 4370-th centered octagonal number.

It is an amenable number.

76370121 is a deficient number, since it is larger than the sum of its proper divisors (37831252).

76370121 is an frugal number, since it uses more digits than its factorization.

76370121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The cubic root of 76370121 is about 424.2688624205.

Multiplying 76370121 by its product of nonzero digits (1764), we get a square (134716893444 = 3670382).

Adding to 76370121 its reverse (12107367), we get a palindrome (88477488).

The spelling of 76370121 in words is "seventy-six million, three hundred seventy thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 971 2913 8739 26217 78651 942841 2828523 8485569 25456707 76370121