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1312001992 = 237294717189
BaseRepresentation
bin100111000110011…
…1000111111001000
310101102202121101101
41032030320333020
510141333030432
6334104431144
744340555460
oct11614707710
93342677341
101312001992
11613655574
123074784b4
1317ba7ab52
14c6366ba0
157a2b14e7
hex4e338fc8

1312001992 has 64 divisors (see below), whose sum is σ = 2970432000. Its totient is φ = 531315456.

The previous prime is 1312001983. The next prime is 1312001993. The reversal of 1312001992 is 2991002131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1312001992.

It is not an unprimeable number, because it can be changed into a prime (1312001993) 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, 67734 + ... + 84922.

It is an arithmetic number, because the mean of its divisors is an integer number (46413000).

Almost surely, 21312001992 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 1312001992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485216000).

1312001992 is an abundant number, since it is smaller than the sum of its proper divisors (1658430008).

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

1312001992 is a wasteful number, since it uses less digits than its factorization.

1312001992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17278 (or 17274 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 1312001992 is about 36221.5680499892. The cubic root of 1312001992 is about 1094.7412890050.

The spelling of 1312001992 in words is "one billion, three hundred twelve million, one thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 29 47 56 58 94 116 188 203 232 329 376 406 658 812 1316 1363 1624 2632 2726 5452 9541 10904 17189 19082 34378 38164 68756 76328 120323 137512 240646 481292 498481 807883 962584 996962 1615766 1993924 3231532 3489367 3987848 5655181 6463064 6978734 11310362 13957468 22620724 23428607 27914936 45241448 46857214 93714428 164000249 187428856 328000498 656000996 1312001992