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1148290668 = 22357712377
BaseRepresentation
bin100010001110001…
…1000011001101100
32222000201012200000
41010130120121230
54322430300133
6305535504300
740312211130
oct10434303154
92860635600
101148290668
1153a1a8858
12280688090
13153b8b045
14ac70d3c0
156ac24413
hex4471866c

1148290668 has 144 divisors (see below), whose sum is σ = 3490066944. Its totient is φ = 323326080.

The previous prime is 1148290667. The next prime is 1148290681. The reversal of 1148290668 is 8660928411.

It is not an unprimeable number, because it can be changed into a prime (1148290667) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 481896 + ... + 484272.

It is an arithmetic number, because the mean of its divisors is an integer number (24236576).

Almost surely, 21148290668 is an apocalyptic number.

1148290668 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 1148290668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745033472).

1148290668 is an abundant number, since it is smaller than the sum of its proper divisors (2341776276).

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

1148290668 is a wasteful number, since it uses less digits than its factorization.

1148290668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1148290668 is about 33886.4378181006. The cubic root of 1148290668 is about 1047.1702090255.

The spelling of 1148290668 in words is "one billion, one hundred forty-eight million, two hundred ninety thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 81 84 108 126 142 162 189 213 243 252 284 324 378 426 486 497 567 639 756 852 972 994 1134 1278 1491 1701 1917 1988 2268 2377 2556 2982 3402 3834 4473 4754 5751 5964 6804 7131 7668 8946 9508 11502 13419 14262 16639 17253 17892 21393 23004 26838 28524 33278 34506 40257 42786 49917 53676 64179 66556 69012 80514 85572 99834 120771 128358 149751 161028 168767 192537 199668 241542 256716 299502 337534 385074 449253 483084 506301 577611 599004 675068 770148 898506 1012602 1155222 1181369 1347759 1518903 1797012 2025204 2310444 2362738 2695518 3037806 3544107 4043277 4556709 4725476 5391036 6075612 7088214 8086554 9113418 10632321 13670127 14176428 16173108 18226836 21264642 27340254 31896963 41010381 42529284 54680508 63793926 82020762 95690889 127587852 164041524 191381778 287072667 382763556 574145334 1148290668