Search a number
-
+
1360645132 = 2272112321193
BaseRepresentation
bin101000100011001…
…1100110000001100
310111211021221020011
41101012130300030
510241311121012
6343003203004
745501202300
oct12106346014
93454257204
101360645132
11639059910
1231b816464
13188b7c782
14cc9c9d00
157e6be1a7
hex5119cc0c

1360645132 has 108 divisors (see below), whose sum is σ = 3161430216. Its totient is φ = 506647680.

The previous prime is 1360645127. The next prime is 1360645151. The reversal of 1360645132 is 2315460631.

It is a junction number, because it is equal to n+sod(n) for n = 1360645094 and 1360645103.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1139928 + ... + 1141120.

It is an arithmetic number, because the mean of its divisors is an integer number (29272502).

Almost surely, 21360645132 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 1360645132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580715108).

1360645132 is an abundant number, since it is smaller than the sum of its proper divisors (1800785084).

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

1360645132 is a wasteful number, since it uses less digits than its factorization.

1360645132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 1360645132 is about 36886.9235908879. The cubic root of 1360645132 is about 1108.1068104620.

The spelling of 1360645132 in words is "one billion, three hundred sixty million, six hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 49 77 92 98 154 161 196 253 308 322 506 529 539 644 1012 1058 1078 1127 1193 1771 2116 2156 2254 2386 3542 3703 4508 4772 5819 7084 7406 8351 11638 12397 13123 14812 16702 23276 24794 25921 26246 27439 33404 40733 49588 51842 52492 54878 58457 81466 91861 103684 109756 116914 162932 183722 192073 233828 285131 301829 367444 384146 570262 603658 631097 643027 768292 1140524 1207316 1262194 1286054 1344511 2112803 2524388 2572108 2689022 4225606 4417679 5378044 6942067 8451212 8835358 13884134 14789621 17670716 27768268 29579242 30923753 48594469 59158484 61847506 97188938 123695012 194377876 340161283 680322566 1360645132