Search a number
-
+
1312413520 = 245113148109
BaseRepresentation
bin100111000111001…
…1101011101010000
310101110112111220011
41032032131131100
510141434213040
6334121324304
744344221325
oct11616353520
93343474804
101312413520
11613906780
12307636694
1317bb93262
14c6432b4c
157a3433ea
hex4e39d750

1312413520 has 80 divisors (see below), whose sum is σ = 3436208640. Its totient is φ = 461836800.

The previous prime is 1312413503. The next prime is 1312413521. The reversal of 1312413520 is 253142131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1312413491 and 1312413500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312413521) 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, 3226 + ... + 51334.

It is an arithmetic number, because the mean of its divisors is an integer number (42952608).

Almost surely, 21312413520 is an apocalyptic number.

1312413520 is a gapful number since it is divisible by the number (10) 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 1312413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718104320).

1312413520 is an abundant number, since it is smaller than the sum of its proper divisors (2123795120).

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

1312413520 is a wasteful number, since it uses less digits than its factorization.

1312413520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48164 (or 48158 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1312413520 is about 36227.2483084211. The cubic root of 1312413520 is about 1094.8557374079.

Adding to 1312413520 its reverse (253142131), we get a palindrome (1565555651).

The spelling of 1312413520 in words is "one billion, three hundred twelve million, four hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5456 6820 13640 27280 48109 96218 192436 240545 384872 481090 529199 769744 962180 1058398 1491379 1924360 2116796 2645995 2982758 3848720 4233592 5291990 5965516 7456895 8467184 10583980 11931032 14913790 16405169 21167960 23862064 29827580 32810338 42335920 59655160 65620676 82025845 119310320 131241352 164051690 262482704 328103380 656206760 1312413520