Search a number
-
+
68604400 = 2452237457
BaseRepresentation
bin1000001011011…
…01000111110000
311210002110112201
410011231013300
5120030320100
610450232544
71462061554
oct405550760
9153073481
1068604400
11357a8557
121ab85754
13112a0527
14917b864
15605236a
hex416d1f0

68604400 has 60 divisors (see below), whose sum is σ = 172011312. Its totient is φ = 26245120.

The previous prime is 68604391. The next prime is 68604407. The reversal of 68604400 is 440686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68604407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5472 + ... + 12928.

Almost surely, 268604400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86005656).

68604400 is an abundant number, since it is smaller than the sum of its proper divisors (103406912).

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

68604400 is a wasteful number, since it uses less digits than its factorization.

68604400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7498 (or 7487 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 68604400 is about 8282.7773119890. Note that the first 3 decimals coincide. The cubic root of 68604400 is about 409.3712353246.

The spelling of 68604400 in words is "sixty-eight million, six hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 7457 9200 14914 29828 37285 59656 74570 119312 149140 171511 186425 298280 343022 372850 596560 686044 745700 857555 1372088 1491400 1715110 2744176 2982800 3430220 4287775 6860440 8575550 13720880 17151100 34302200 68604400