Search a number
-
+
1316806944 = 253172927823
BaseRepresentation
bin100111001111100…
…1110000100100000
310101202210201112120
41032133032010200
510144100310234
6334355424240
744426450205
oct11637160440
93352721476
101316806944
11616337602
12308bb5080
1317ca70c0b
14c6c57cac
157a910049
hex4e7ce120

1316806944 has 96 divisors (see below), whose sum is σ = 3786289920. Its totient is φ = 398856192.

The previous prime is 1316806937. The next prime is 1316806957. The reversal of 1316806944 is 4496086131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1316806896 and 1316806905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33417 + ... + 61239.

It is an arithmetic number, because the mean of its divisors is an integer number (39440520).

Almost surely, 21316806944 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 1316806944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893144960).

1316806944 is an abundant number, since it is smaller than the sum of its proper divisors (2469482976).

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

1316806944 is a wasteful number, since it uses less digits than its factorization.

1316806944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27882 (or 27874 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1316806944 is about 36287.8346557080. The cubic root of 1316806944 is about 1096.0760865004.

The spelling of 1316806944 in words is "one billion, three hundred sixteen million, eight hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 348 408 464 493 544 696 816 928 986 1392 1479 1632 1972 2784 2958 3944 5916 7888 11832 15776 23664 27823 47328 55646 83469 111292 166938 222584 333876 445168 472991 667752 806867 890336 945982 1335504 1418973 1613734 1891964 2420601 2671008 2837946 3227468 3783928 4841202 5675892 6454936 7567856 9682404 11351784 12909872 13716739 15135712 19364808 22703568 25819744 27433478 38729616 41150217 45407136 54866956 77459232 82300434 109733912 164600868 219467824 329201736 438935648 658403472 1316806944