Search a number
-
+
245512680 = 233571915383
BaseRepresentation
bin11101010001000…
…11100111101000
3122002222100002020
432220203213220
51000322401210
640210104440
76040552260
oct1650434750
9562870066
10245512680
11116649346
126a27b120
133bb3109a
142486c7a0
1516849770
hexea239e8

245512680 has 128 divisors (see below), whose sum is σ = 886118400. Its totient is φ = 53160192.

The previous prime is 245512679. The next prime is 245512681. The reversal of 245512680 is 86215542.

245512680 is digitally balanced in base 2, 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 (245512679) and next prime (245512681).

It is not an unprimeable number, because it can be changed into a prime (245512681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8269 + ... + 23651.

It is an arithmetic number, because the mean of its divisors is an integer number (6922800).

Almost surely, 2245512680 is an apocalyptic number.

245512680 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 245512680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443059200).

245512680 is an abundant number, since it is smaller than the sum of its proper divisors (640605720).

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

245512680 is a wasteful number, since it uses less digits than its factorization.

245512680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15423 (or 15419 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 245512680 is about 15668.8442458275. The cubic root of 245512680 is about 626.1686337769.

The spelling of 245512680 in words is "two hundred forty-five million, five hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15383 15960 30766 46149 61532 76915 92298 107681 123064 153830 184596 215362 230745 292277 307660 323043 369192 430724 461490 538405 584554 615320 646086 861448 876831 922980 1076810 1169108 1292172 1461385 1615215 1753662 1845960 2045939 2153620 2338216 2584344 2922770 3230430 3507324 4091878 4307240 4384155 5845540 6137817 6460860 7014648 8183756 8768310 10229695 11691080 12275634 12921720 16367512 17536620 20459390 24551268 30689085 35073240 40918780 49102536 61378170 81837560 122756340 245512680