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161245440 = 2832513997
BaseRepresentation
bin10011001110001…
…10100100000000
3102020102010011100
421213012210000
5312234323230
624000014400
73665364216
oct1147064400
9366363140
10161245440
11830230a4
1246001400
1327538605
14175b4cb6
15e251660
hex99c6900

161245440 has 108 divisors (see below), whose sum is σ = 557932284. Its totient is φ = 42995712.

The previous prime is 161245439. The next prime is 161245499. The reversal of 161245440 is 44542161.

161245440 is a `hidden beast` number, since 1 + 612 + 4 + 5 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68161536 + 93083904 = 8256^2 + 9648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4522 + ... + 18518.

Almost surely, 2161245440 is an apocalyptic number.

161245440 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 161245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278966142).

161245440 is an abundant number, since it is smaller than the sum of its proper divisors (396686844).

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

161245440 is a wasteful number, since it uses less digits than its factorization.

161245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14024 (or 14007 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 161245440 is about 12698.2455481062. The cubic root of 161245440 is about 544.2884859724.

It can be divided in two parts, 16 and 1245440, that added together give a square (1245456 = 11162).

The spelling of 161245440 in words is "one hundred sixty-one million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 13997 27994 41991 55988 69985 83982 111976 125973 139970 167964 209955 223952 251946 279940 335928 419910 447904 503892 559880 629865 671856 839820 895808 1007784 1119760 1259730 1343712 1679640 1791616 2015568 2239520 2519460 2687424 3359280 3583232 4031136 4479040 5038920 5374848 6718560 8062272 8958080 10077840 10749696 13437120 16124544 17916160 20155680 26874240 32249088 40311360 53748480 80622720 161245440