Search a number
-
+
76746870 = 23251018443
BaseRepresentation
bin1001001001100…
…01000001110110
312100102010220200
410210301001312
5124121344440
611340541330
71621223544
oct444610166
9170363820
1076746870
113a35a072
1221851846
1312b91765
14a29ad94
156b0ec30
hex4931076

76746870 has 48 divisors (see below), whose sum is σ = 201541392. Its totient is φ = 20260800.

The previous prime is 76746851. The next prime is 76746881. The reversal of 76746870 is 7864767.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4869 + ... + 13311.

It is an arithmetic number, because the mean of its divisors is an integer number (4198779).

Almost surely, 276746870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76746870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100770696).

76746870 is an abundant number, since it is smaller than the sum of its proper divisors (124794522).

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

76746870 is a wasteful number, since it uses less digits than its factorization.

76746870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8557 (or 8554 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 76746870 is about 8760.5290936107. The cubic root of 76746870 is about 424.9653858776.

The spelling of 76746870 in words is "seventy-six million, seven hundred forty-six thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 8443 9090 16886 25329 42215 50658 75987 84430 126645 151974 253290 379935 759870 852743 1705486 2558229 4263715 5116458 7674687 8527430 12791145 15349374 25582290 38373435 76746870