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160742480 = 24517181653
BaseRepresentation
bin10011001010010…
…11110001010000
3102012110120020012
421211023301100
5312122224410
623541134052
73661200653
oct1145136120
9365416205
10160742480
118280a228
12459ba328
13273c06c2
14174c389a
15e1a2605
hex994bc50

160742480 has 80 divisors (see below), whose sum is σ = 398505744. Its totient is φ = 60088320.

The previous prime is 160742479. The next prime is 160742501. The reversal of 160742480 is 84247061.

It can be written as a sum of positive squares in 8 ways, for example, as 24880144 + 135862336 = 4988^2 + 11656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 245834 + ... + 246486.

Almost surely, 2160742480 is an apocalyptic number.

160742480 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 160742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199252872).

160742480 is an abundant number, since it is smaller than the sum of its proper divisors (237763264).

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

160742480 is a wasteful number, since it uses less digits than its factorization.

160742480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 160742480 is about 12678.4257697870. The cubic root of 160742480 is about 543.7219780336.

The spelling of 160742480 in words is "one hundred sixty million, seven hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 181 272 340 362 653 680 724 905 1306 1360 1448 1810 2612 2896 3077 3265 3620 5224 6154 6530 7240 10448 11101 12308 13060 14480 15385 22202 24616 26120 30770 44404 49232 52240 55505 61540 88808 111010 118193 123080 177616 222020 236386 246160 444040 472772 590965 888080 945544 1181930 1891088 2009281 2363860 4018562 4727720 8037124 9455440 10046405 16074248 20092810 32148496 40185620 80371240 160742480