Search a number
-
+
1316066256 = 243223439241
BaseRepresentation
bin100111001110001…
…1001001111010000
310101201102002111200
41032130121033100
510143403110011
6334331511200
744420243601
oct11634311720
93351362450
101316066256
1161598106a
123088b8500
1317c871a3b
14c6b03da8
157a815856
hex4e7193d0

1316066256 has 120 divisors (see below), whose sum is σ = 3933099456. Its totient is φ = 409812480.

The previous prime is 1316066239. The next prime is 1316066273. The reversal of 1316066256 is 6526606131.

1316066256 is a `hidden beast` number, since 13 + 16 + 0 + 6 + 625 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1316066239) and next prime (1316066273).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1316066256.

It is a congruent number.

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, 137796 + ... + 147036.

Almost surely, 21316066256 is an apocalyptic number.

1316066256 is a gapful number since it is divisible by the number (16) 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 1316066256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966549728).

1316066256 is an abundant number, since it is smaller than the sum of its proper divisors (2617033200).

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

1316066256 is a wasteful number, since it uses less digits than its factorization.

1316066256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9321 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1316066256 is about 36277.6274858211. The cubic root of 1316066256 is about 1095.8705381031.

The spelling of 1316066256 in words is "one billion, three hundred sixteen million, sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 43 46 48 69 72 86 92 129 138 144 172 184 207 258 276 344 368 387 414 516 552 688 774 828 989 1032 1104 1548 1656 1978 2064 2967 3096 3312 3956 5934 6192 7912 8901 9241 11868 15824 17802 18482 23736 27723 35604 36964 47472 55446 71208 73928 83169 110892 142416 147856 166338 212543 221784 332676 397363 425086 443568 637629 665352 794726 850172 1192089 1275258 1330704 1589452 1700344 1912887 2384178 2550516 3178904 3400688 3576267 3825774 4768356 5101032 6357808 7152534 7651548 9139349 9536712 10202064 14305068 15303096 18278698 19073424 27418047 28610136 30606192 36557396 54836094 57220272 73114792 82254141 109672188 146229584 164508282 219344376 329016564 438688752 658033128 1316066256