Search a number
-
+
1315553868 = 2232431575413
BaseRepresentation
bin100111001101001…
…1100001001001100
310101200110001122100
41032122130021030
510143240210433
6334312515100
744413011006
oct11632341114
93350401570
101315553868
11615661102
123086aba90
1317c722755
14c6a0d376
157a763b13
hex4e69c24c

1315553868 has 72 divisors (see below), whose sum is σ = 3425069648. Its totient is φ = 425513088.

The previous prime is 1315553849. The next prime is 1315553893. The reversal of 1315553868 is 8683555131.

1315553868 is a `hidden beast` number, since 1 + 3 + 1 + 55 + 538 + 68 = 666.

It is a super-2 number, since 2×13155538682 = 3461363959219522848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240330 + ... + 245742.

Almost surely, 21315553868 is an apocalyptic number.

1315553868 is a gapful number since it is divisible by the number (18) 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 1315553868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712534824).

1315553868 is an abundant number, since it is smaller than the sum of its proper divisors (2109515780).

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

1315553868 is a wasteful number, since it uses less digits than its factorization.

1315553868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623 (or 5618 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 1315553868 is about 36270.5647598711. The cubic root of 1315553868 is about 1095.7283001273.

The spelling of 1315553868 in words is "one billion, three hundred fifteen million, five hundred fifty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 157 172 258 314 387 471 516 628 774 942 1413 1548 1884 2826 5413 5652 6751 10826 13502 16239 20253 21652 27004 32478 40506 48717 60759 64956 81012 97434 121518 194868 232759 243036 465518 698277 849841 931036 1396554 1699682 2094831 2549523 2793108 3399364 4189662 5099046 7648569 8379324 10198092 15297138 30594276 36543163 73086326 109629489 146172652 219258978 328888467 438517956 657776934 1315553868