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1298085888 = 21131119207
BaseRepresentation
bin100110101011111…
…0011100000000000
310100110120121002010
41031113303200000
510124302222023
6332450252520
744111355651
oct11527634000
93313517063
101298085888
11606810160
12302887140
13178c17978
14c4583528
1578e63093
hex4d5f3800

1298085888 has 96 divisors (see below), whose sum is σ = 3775524480. Its totient is φ = 393338880.

The previous prime is 1298085869. The next prime is 1298085931. The reversal of 1298085888 is 8885808921.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57981 + ... + 77187.

It is an arithmetic number, because the mean of its divisors is an integer number (39328380).

Almost surely, 21298085888 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 1298085888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887762240).

1298085888 is an abundant number, since it is smaller than the sum of its proper divisors (2477438592).

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

1298085888 is a wasteful number, since it uses less digits than its factorization.

1298085888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19243 (or 19223 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 57.

The square root of 1298085888 is about 36028.9590191002. The cubic root of 1298085888 is about 1090.8569665600.

The spelling of 1298085888 in words is "one billion, two hundred ninety-eight million, eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4224 5632 6144 8448 11264 16896 19207 22528 33792 38414 57621 67584 76828 115242 153656 211277 230484 307312 422554 460968 614624 633831 845108 921936 1229248 1267662 1690216 1843872 2458496 2535324 3380432 3687744 4916992 5070648 6760864 7375488 9833984 10141296 13521728 14750976 19667968 20282592 27043456 29501952 39335936 40565184 54086912 59003904 81130368 108173824 118007808 162260736 216347648 324521472 432695296 649042944 1298085888