Search a number
-
+
245383600 = 245271131257
BaseRepresentation
bin11101010000001…
…00000110110000
3122002201210000111
432220010012300
51000304233400
640203231104
76036504040
oct1650040660
9562653014
10245383600
11116570370
126a218494
133bab73c7
1424837720
15168213ba
hexea041b0

245383600 has 240 divisors, whose sum is σ = 761665536. Its totient is φ = 73728000.

The previous prime is 245383561. The next prime is 245383601. The reversal of 245383600 is 6383542.

It is a super-2 number, since 2×2453836002 = 120426222297920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (245383601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954672 + ... + 954928.

Almost surely, 2245383600 is an apocalyptic number.

245383600 is a gapful number since it is divisible by the number (20) 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 245383600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380832768).

245383600 is an abundant number, since it is smaller than the sum of its proper divisors (516281936).

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

245383600 is a wasteful number, since it uses less digits than its factorization.

245383600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 245383600 is about 15664.7247023368. The cubic root of 245383600 is about 626.0588770340.

The spelling of 245383600 in words is "two hundred forty-five million, three hundred eighty-three thousand, six hundred".