Search a number
-
+
1312540064 = 251119229857
BaseRepresentation
bin100111000111011…
…1100010110100000
310101110202221110222
41032032330112200
510142002240224
6334124142212
744345256263
oct11616742640
93343687428
101312540064
11613992860
12307697968
1317bc08a34
14c6466cda
157a36ab5e
hex4e3bc5a0

1312540064 has 96 divisors (see below), whose sum is σ = 2983780800. Its totient is φ = 562083840.

The previous prime is 1312540051. The next prime is 1312540067. The reversal of 1312540064 is 4600452131.

It is a super-2 number, since 2×13125400642 = 3445522839210248192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312540067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1531124 + ... + 1531980.

It is an arithmetic number, because the mean of its divisors is an integer number (31081050).

Almost surely, 21312540064 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 1312540064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491890400).

1312540064 is an abundant number, since it is smaller than the sum of its proper divisors (1671240736).

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

1312540064 is a wasteful number, since it uses less digits than its factorization.

1312540064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1312540064 is about 36228.9947969855. The cubic root of 1312540064 is about 1094.8909252431.

Adding to 1312540064 its reverse (4600452131), we get a palindrome (5912992195).

The spelling of 1312540064 in words is "one billion, three hundred twelve million, five hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 229 304 352 418 458 608 836 857 916 1672 1714 1832 2519 3344 3428 3664 4351 5038 6688 6856 7328 8702 9427 10076 13712 16283 17404 18854 20152 27424 32566 34808 37708 40304 47861 65132 69616 75416 80608 95722 130264 139232 150832 179113 191444 196253 260528 301664 358226 382888 392506 521056 716452 765776 785012 1432904 1531552 1570024 2158783 2865808 3140048 3728807 4317566 5731616 6280096 7457614 8635132 14915228 17270264 29830456 34540528 41016877 59660912 69081056 82033754 119321824 164067508 328135016 656270032 1312540064