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160098440 = 2354122381
BaseRepresentation
bin10011000101011…
…10100010001000
3102011020211202212
421202232202020
5311441122230
623515244252
73652546205
oct1142564210
9364224685
10160098440
118240a367
1245749688
1327226508
1417396cac
15e0c6895
hex98ae888

160098440 has 48 divisors (see below), whose sum is σ = 369376740. Its totient is φ = 62451200.

The previous prime is 160098439. The next prime is 160098457. The reversal of 160098440 is 44890061.

It can be written as a sum of positive squares in 6 ways, for example, as 8168164 + 151930276 = 2858^2 + 12326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 160098397 and 160098406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66050 + ... + 68430.

Almost surely, 2160098440 is an apocalyptic number.

160098440 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 160098440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184688370).

160098440 is an abundant number, since it is smaller than the sum of its proper divisors (209278300).

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

160098440 is a wasteful number, since it uses less digits than its factorization.

160098440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 160098440 is about 12653.0012250059. The cubic root of 160098440 is about 542.9948368561.

The spelling of 160098440 in words is "one hundred sixty million, ninety-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1681 2381 3362 4762 6724 8405 9524 11905 13448 16810 19048 23810 33620 47620 67240 95240 97621 195242 390484 488105 780968 976210 1952420 3904840 4002461 8004922 16009844 20012305 32019688 40024610 80049220 160098440