Search a number
-
+
245427720 = 23357925889
BaseRepresentation
bin11101010000011…
…10111000001000
3122002211000112120
432220032320020
51000312141340
640204211240
76040046466
oct1650167010
9562730476
10245427720
111165a052a
126a239b20
133bb01505
1424849836
151682e4d0
hexea0ee08

245427720 has 64 divisors (see below), whose sum is σ = 745632000. Its totient is φ = 64616448.

The previous prime is 245427701. The next prime is 245427739. The reversal of 245427720 is 27724542.

It is a happy number.

245427720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245427701) and next prime (245427739).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3465 + ... + 22424.

It is an arithmetic number, because the mean of its divisors is an integer number (11650500).

Almost surely, 2245427720 is an apocalyptic number.

245427720 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 245427720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372816000).

245427720 is an abundant number, since it is smaller than the sum of its proper divisors (500204280).

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

245427720 is a wasteful number, since it uses less digits than its factorization.

245427720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25982 (or 25978 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 245427720 is about 15666.1328987086. The cubic root of 245427720 is about 626.0963966052.

The spelling of 245427720 in words is "two hundred forty-five million, four hundred twenty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 25889 51778 77667 103556 129445 155334 207112 258890 310668 388335 517780 621336 776670 1035560 1553340 2045231 3106680 4090462 6135693 8180924 10226155 12271386 16361848 20452310 24542772 30678465 40904620 49085544 61356930 81809240 122713860 245427720