Search a number
-
+
76450320 = 24325106181
BaseRepresentation
bin1001000111010…
…00101000010000
312022212002010100
410203220220100
5124032402240
611330332400
71615550142
oct443505020
9168762110
1076450320
113a177291
122172a100
1312ab979b
14a220c92
156aa1e30
hex48e8a10

76450320 has 60 divisors (see below), whose sum is σ = 256748076. Its totient is φ = 20386560.

The previous prime is 76450307. The next prime is 76450337. The reversal of 76450320 is 2305467.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 64256256 = 3492^2 + 8016^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52371 + ... + 53810.

Almost surely, 276450320 is an apocalyptic number.

It is an amenable number.

76450320 is an abundant number, since it is smaller than the sum of its proper divisors (180297756).

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

76450320 is a wasteful number, since it uses less digits than its factorization.

76450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106200 (or 106191 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 76450320 is about 8743.5873644632. The cubic root of 76450320 is about 424.4173237750.

Adding to 76450320 its reverse (2305467), we get a palindrome (78755787).

The spelling of 76450320 in words is "seventy-six million, four hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 106181 212362 318543 424724 530905 637086 849448 955629 1061810 1274172 1592715 1698896 1911258 2123620 2548344 3185430 3822516 4247240 4778145 5096688 6370860 7645032 8494480 9556290 12741720 15290064 19112580 25483440 38225160 76450320