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168283128 = 2331331127137
BaseRepresentation
bin10100000011111…
…00101111111000
3102201122200001110
422001330233320
5321040030003
624410520320
74112245236
oct1201745770
9381580043
10168283128
1186a9a672
12484360a0
1328b30a20
14184c7956
15eb91a03
hexa07cbf8

168283128 has 128 divisors (see below), whose sum is σ = 474808320. Its totient is φ = 49351680.

The previous prime is 168283099. The next prime is 168283183. The reversal of 168283128 is 821382861.

It is a super-2 number, since 2×1682831282 = 56638422338928768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228276 + ... + 1228412.

It is an arithmetic number, because the mean of its divisors is an integer number (3709440).

Almost surely, 2168283128 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 168283128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237404160).

168283128 is an abundant number, since it is smaller than the sum of its proper divisors (306525192).

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

168283128 is a wasteful number, since it uses less digits than its factorization.

168283128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 168283128 is about 12972.3986987758. The cubic root of 168283128 is about 552.0946330089.

The spelling of 168283128 in words is "one hundred sixty-eight million, two hundred eighty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 127 137 156 186 248 254 274 312 372 381 403 411 508 548 744 762 806 822 1016 1096 1209 1524 1612 1644 1651 1781 2418 3048 3224 3288 3302 3562 3937 4247 4836 4953 5343 6604 7124 7874 8494 9672 9906 10686 11811 12741 13208 14248 15748 16988 17399 19812 21372 23622 25482 31496 33976 34798 39624 42744 47244 50964 51181 52197 55211 69596 94488 101928 102362 104394 110422 139192 153543 165633 204724 208788 220844 226187 307086 331266 409448 417576 441688 452374 539369 614172 662532 678561 904748 1078738 1228344 1325064 1357122 1618107 1809496 2157476 2714244 3236214 4314952 5428488 6472428 7011797 12944856 14023594 21035391 28047188 42070782 56094376 84141564 168283128