Search a number
-
+
76310480 = 245953881
BaseRepresentation
bin1001000110001…
…10011111010000
312022120222022002
410203012133100
5124013413410
611323333132
71614425351
oct443063720
9168528262
1076310480
113a091214
12216811a8
1312a6ac3c
14a1c5d28
156a757a5
hex48c67d0

76310480 has 20 divisors (see below), whose sum is σ = 177422052. Its totient is φ = 30524160.

The previous prime is 76310461. The next prime is 76310489. The reversal of 76310480 is 8401367.

It can be written as a sum of positive squares in 2 ways, for example, as 30558784 + 45751696 = 5528^2 + 6764^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×763104803 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76310489) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 476861 + ... + 477020.

Almost surely, 276310480 is an apocalyptic number.

It is an amenable number.

76310480 is an abundant number, since it is smaller than the sum of its proper divisors (101111572).

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

76310480 is a wasteful number, since it uses less digits than its factorization.

76310480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953894 (or 953888 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 76310480 is about 8735.5869865739. The cubic root of 76310480 is about 424.1583898572.

The spelling of 76310480 in words is "seventy-six million, three hundred ten thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 953881 1907762 3815524 4769405 7631048 9538810 15262096 19077620 38155240 76310480