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1968347088 = 24335638093
BaseRepresentation
bin111010101010010…
…1001011111010000
312002011210101121000
41311110221133100
513012344101323
6523152302000
766530450151
oct16524513720
95064711530
101968347088
11920098334
1246b241900
13254a43c26
141495b9928
15b7c0de43
hex755297d0

1968347088 has 80 divisors (see below), whose sum is σ = 5660619840. Its totient is φ = 654869376.

The previous prime is 1968347083. The next prime is 1968347093. The reversal of 1968347088 is 8807438691.

1968347088 is a `hidden beast` number, since 1 + 96 + 8 + 3 + 470 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (1968347083) and next prime (1968347093).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968347083) 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, 239170 + ... + 247262.

It is an arithmetic number, because the mean of its divisors is an integer number (70757748).

Almost surely, 21968347088 is an apocalyptic number.

1968347088 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 1968347088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830309920).

1968347088 is an abundant number, since it is smaller than the sum of its proper divisors (3692272752).

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

1968347088 is a wasteful number, since it uses less digits than its factorization.

1968347088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8673 (or 8661 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1968347088 is about 44366.0578370448. The cubic root of 1968347088 is about 1253.2389787376.

The spelling of 1968347088 in words is "one billion, nine hundred sixty-eight million, three hundred forty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 563 1126 1689 2252 3378 4504 5067 6756 8093 9008 10134 13512 15201 16186 20268 24279 27024 30402 32372 40536 48558 60804 64744 72837 81072 97116 121608 129488 145674 194232 218511 243216 291348 388464 437022 582696 874044 1165392 1748088 3496176 4556359 9112718 13669077 18225436 27338154 36450872 41007231 54676308 72901744 82014462 109352616 123021693 164028924 218705232 246043386 328057848 492086772 656115696 984173544 1968347088