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245404160 = 295257373
BaseRepresentation
bin11101010000010…
…01001000000000
3122002202211012222
432220021020000
51000310413120
640203510212
76036621011
oct1650111000
9562684188
10245404160
11116584861
126a228368
133bac3881
1424841008
1516827525
hexea09200

245404160 has 80 divisors (see below), whose sum is σ = 592267896. Its totient is φ = 97517568.

The previous prime is 245404157. The next prime is 245404169. The reversal of 245404160 is 61404542.

It can be written as a sum of positive squares in 4 ways, for example, as 242362624 + 3041536 = 15568^2 + 1744^2 .

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

It is not an unprimeable number, because it can be changed into a prime (245404169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 657734 + ... + 658106.

Almost surely, 2245404160 is an apocalyptic number.

245404160 is a gapful number since it is divisible by the number (20) 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 245404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296133948).

245404160 is an abundant number, since it is smaller than the sum of its proper divisors (346863736).

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

245404160 is an equidigital number, since it uses as much as digits as its factorization.

245404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 245404160 is about 15665.3809401495. The cubic root of 245404160 is about 626.0763617817.

The spelling of 245404160 in words is "two hundred forty-five million, four hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 257 320 373 512 514 640 746 1028 1280 1285 1492 1865 2056 2560 2570 2984 3730 4112 5140 5968 7460 8224 10280 11936 14920 16448 20560 23872 29840 32896 41120 47744 59680 65792 82240 95488 95861 119360 131584 164480 190976 191722 238720 328960 383444 477440 479305 657920 766888 954880 958610 1533776 1917220 3067552 3834440 6135104 7668880 12270208 15337760 24540416 30675520 49080832 61351040 122702080 245404160