[go: up one dir, main page]

Search a number
-
+
74068992 = 210341947
BaseRepresentation
bin1000110101000…
…11010000000000
312011101002120000
410122203100000
5122430201432
611203320000
71556401404
oct432432000
9164332500
1074068992
11388a0148
1220980000
131246490a
149ba1104
15678157c
hex46a3400

74068992 has 220 divisors, whose sum is σ = 237779520. Its totient is φ = 22892544.

The previous prime is 74068991. The next prime is 74069003. The reversal of 74068992 is 29986047.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74068991) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1575913 + ... + 1575959.

It is an arithmetic number, because the mean of its divisors is an integer number (1080816).

Almost surely, 274068992 is an apocalyptic number.

74068992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74068992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118889760).

74068992 is an abundant number, since it is smaller than the sum of its proper divisors (163710528).

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

74068992 is a wasteful number, since it uses less digits than its factorization.

74068992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 74068992 is about 8606.3344113507. The cubic root of 74068992 is about 419.9640785605.

The spelling of 74068992 in words is "seventy-four million, sixty-eight thousand, nine hundred ninety-two".