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168897312 = 2534173833
BaseRepresentation
bin10100001000100…
…10101100100000
3102202210212120000
422010102230200
5321214203222
624432020000
74120413663
oct1204225440
9382725500
10168897312
118737a061
1248691600
1328cb744c
14186076da
15ec639ac
hexa112b20

168897312 has 120 divisors (see below), whose sum is σ = 526078476. Its totient is φ = 52973568.

The previous prime is 168897241. The next prime is 168897317. The reversal of 168897312 is 213798861.

It can be written as a sum of positive squares in 2 ways, for example, as 168896016 + 1296 = 12996^2 + 36^2 .

It is not an unprimeable number, because it can be changed into a prime (168897317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42148 + ... + 45980.

Almost surely, 2168897312 is an apocalyptic number.

168897312 is a gapful number since it is divisible by the number (12) 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 168897312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263039238).

168897312 is an abundant number, since it is smaller than the sum of its proper divisors (357181164).

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

168897312 is a wasteful number, since it uses less digits than its factorization.

168897312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3855 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 168897312 is about 12996.0498614002. The cubic root of 168897312 is about 552.7654786348.

The spelling of 168897312 in words is "one hundred sixty-eight million, eight hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 3833 4896 5508 7344 7666 11016 11499 14688 15332 22032 22998 30664 34497 44064 45996 61328 65161 68994 91992 103491 122656 130322 137988 183984 195483 206982 260644 275976 310473 367968 390966 413964 521288 551952 586449 620946 781932 827928 1042576 1103904 1172898 1241892 1563864 1655856 1759347 2085152 2345796 2483784 3127728 3311712 3518694 4691592 4967568 5278041 6255456 7037388 9383184 9935136 10556082 14074776 18766368 21112164 28149552 42224328 56299104 84448656 168897312