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1316947950 = 233521951343
BaseRepresentation
bin100111001111111…
…0000011111101110
310101210001212222000
41032133300133232
510144114313300
6334402433130
744430605253
oct11637603756
93353055860
101316947950
1161642353a
123090627a6
1317cac0156
14c6c9342a
157a93bc00
hex4e7f07ee

1316947950 has 96 divisors (see below), whose sum is σ = 3819993600. Its totient is φ = 332696160.

The previous prime is 1316947937. The next prime is 1316947967. The reversal of 1316947950 is 597496131.

1316947950 is a `hidden beast` number, since 13 + 169 + 479 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1316947896 and 1316947905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22 + ... + 51321.

It is an arithmetic number, because the mean of its divisors is an integer number (39791600).

Almost surely, 21316947950 is an apocalyptic number.

1316947950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316947950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909996800).

1316947950 is an abundant number, since it is smaller than the sum of its proper divisors (2503045650).

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

1316947950 is a wasteful number, since it uses less digits than its factorization.

1316947950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51383 (or 51372 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1316947950 is about 36289.7774862288. Note that the first 3 decimals coincide. The cubic root of 1316947950 is about 1096.1152083547.

The spelling of 1316947950 in words is "one billion, three hundred sixteen million, nine hundred forty-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 135 150 171 190 225 270 285 342 450 475 513 570 675 855 950 1026 1350 1425 1710 2565 2850 4275 5130 8550 12825 25650 51343 102686 154029 256715 308058 462087 513430 770145 924174 975517 1283575 1386261 1540290 1951034 2310435 2567150 2772522 2926551 3850725 4620870 4877585 5853102 6931305 7701450 8779653 9755170 11552175 13862610 14632755 17559306 23104350 24387925 26338959 29265510 34656525 43898265 48775850 52677918 69313050 73163775 87796530 131694795 146327550 219491325 263389590 438982650 658473975 1316947950