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168941000 = 2353241701
BaseRepresentation
bin10100001000111…
…01010111001000
3102202220002111002
422010131113020
5321222103000
624432554132
74120655234
oct1204352710
9382802432
10168941000
11873a9968
12486b2948
13290012b7
14186195c4
15ec718d5
hexa11d5c8

168941000 has 64 divisors (see below), whose sum is σ = 397528560. Its totient is φ = 67200000.

The previous prime is 168940997. The next prime is 168941011. The reversal of 168941000 is 149861.

It can be written as a sum of positive squares in 8 ways, for example, as 40934404 + 128006596 = 6398^2 + 11314^2 .

It is a super-2 number, since 2×1689410002 = 57082122962000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240650 + ... + 241350.

Almost surely, 2168941000 is an apocalyptic number.

168941000 is a gapful number since it is divisible by the number (10) 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 168941000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198764280).

168941000 is an abundant number, since it is smaller than the sum of its proper divisors (228587560).

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

168941000 is a wasteful number, since it uses less digits than its factorization.

168941000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 168941000 is about 12997.7305711420. The cubic root of 168941000 is about 552.8131350797.

The spelling of 168941000 in words is "one hundred sixty-eight million, nine hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 241 250 482 500 701 964 1000 1205 1402 1928 2410 2804 3505 4820 5608 6025 7010 9640 12050 14020 17525 24100 28040 30125 35050 48200 60250 70100 87625 120500 140200 168941 175250 241000 337882 350500 675764 701000 844705 1351528 1689410 3378820 4223525 6757640 8447050 16894100 21117625 33788200 42235250 84470500 168941000