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168013520 = 2456134429
BaseRepresentation
bin10100000001110…
…10111011010000
3102201010222012222
422000322323100
5321002413040
624401040212
74110043223
oct1200727320
9381128188
10168013520
1186926054
1248326068
1328a680ac
14184575ba
15eb3bbb5
hexa03aed0

168013520 has 40 divisors (see below), whose sum is σ = 397046760. Its totient is φ = 66101760.

The previous prime is 168013481. The next prime is 168013537. The reversal of 168013520 is 25310861.

It can be written as a sum of positive squares in 4 ways, for example, as 4787344 + 163226176 = 2188^2 + 12776^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 168013520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12335 + ... + 22094.

It is an arithmetic number, because the mean of its divisors is an integer number (9926169).

Almost surely, 2168013520 is an apocalyptic number.

168013520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168013520 is an abundant number, since it is smaller than the sum of its proper divisors (229033240).

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

168013520 is a wasteful number, since it uses less digits than its factorization.

168013520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34503 (or 34497 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 168013520 is about 12962.0029316460. The cubic root of 168013520 is about 551.7996367263.

The spelling of 168013520 in words is "one hundred sixty-eight million, thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 34429 68858 137716 172145 275432 344290 550864 688580 1377160 2100169 2754320 4200338 8400676 10500845 16801352 21001690 33602704 42003380 84006760 168013520