Search a number
-
+
76465340 = 22572323747
BaseRepresentation
bin1001000111011…
…00010010111100
312022212211201122
410203230102330
5124033342330
611330530112
71615642010
oct443542274
9168784648
1076465340
113a1875a6
1221736938
1312ac3583
14a226540
156aa65e5
hex48ec4bc

76465340 has 48 divisors (see below), whose sum is σ = 191503872. Its totient is φ = 25075776.

The previous prime is 76465321. The next prime is 76465349. The reversal of 76465340 is 4356467.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 76465340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76465349) 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, 8654 + ... + 15093.

It is an arithmetic number, because the mean of its divisors is an integer number (3989664).

Almost surely, 276465340 is an apocalyptic number.

76465340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76465340 is an abundant number, since it is smaller than the sum of its proper divisors (115038532).

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

76465340 is a wasteful number, since it uses less digits than its factorization.

76465340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23786 (or 23784 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 76465340 is about 8744.4462374698. The cubic root of 76465340 is about 424.4451166858.

The spelling of 76465340 in words is "seventy-six million, four hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 23747 47494 94988 118735 166229 237470 332458 474940 546181 664916 831145 1092362 1662290 2184724 2730905 3324580 3823267 5461810 7646534 10923620 15293068 19116335 38232670 76465340