Search a number
-
+
270113700 = 223524719157
BaseRepresentation
bin10000000110011…
…001101110100100
3200211021012100010
4100012121232210
51023122114300
642445250220
76456633333
oct2006315644
9624235303
10270113700
1112952146a
1276563970
1343c657bc
1427c33d1a
1518aa8a50
hex10199ba4

270113700 has 72 divisors (see below), whose sum is σ = 798198912. Its totient is φ = 70494080.

The previous prime is 270113681. The next prime is 270113707. The reversal of 270113700 is 7311072.

It is a super-2 number, since 2×2701137002 = 145922821855380000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (270113707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4522 + ... + 23678.

It is an arithmetic number, because the mean of its divisors is an integer number (11086096).

Almost surely, 2270113700 is an apocalyptic number.

270113700 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 270113700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399099456).

270113700 is an abundant number, since it is smaller than the sum of its proper divisors (528085212).

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

270113700 is a wasteful number, since it uses less digits than its factorization.

270113700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19221 (or 19214 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 270113700 is about 16435.1361418152. The cubic root of 270113700 is about 646.4211199160.

Adding to 270113700 its reverse (7311072), we get a palindrome (277424772).

The spelling of 270113700 in words is "two hundred seventy million, one hundred thirteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 14100 19157 38314 57471 76628 95785 114942 191570 229884 287355 383140 478925 574710 900379 957850 1149420 1436775 1800758 1915700 2701137 2873550 3601516 4501895 5402274 5747100 9003790 10804548 13505685 18007580 22509475 27011370 45018950 54022740 67528425 90037900 135056850 270113700