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245869140 = 223511401929
BaseRepresentation
bin11101010011110…
…10101001010100
3122010122110001110
432221322221110
51000420303030
640221455020
76043565436
oct1651725124
9563573043
10245869140
11116872140
126a411470
133bc273ca
1424922656
15168ba1b0
hexea7aa54

245869140 has 96 divisors (see below), whose sum is σ = 753701760. Its totient is φ = 59392000.

The previous prime is 245869111. The next prime is 245869159. The reversal of 245869140 is 41968542.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264196 + ... + 265124.

It is an arithmetic number, because the mean of its divisors is an integer number (7851060).

Almost surely, 2245869140 is an apocalyptic number.

245869140 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 245869140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376850880).

245869140 is an abundant number, since it is smaller than the sum of its proper divisors (507832620).

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

245869140 is a wasteful number, since it uses less digits than its factorization.

245869140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 245869140 is about 15680.2149219964. The cubic root of 245869140 is about 626.4715320968.

The spelling of 245869140 in words is "two hundred forty-five million, eight hundred sixty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 401 660 802 929 1203 1604 1858 2005 2406 2787 3716 4010 4411 4645 4812 5574 6015 8020 8822 9290 10219 11148 12030 13233 13935 17644 18580 20438 22055 24060 26466 27870 30657 40876 44110 51095 52932 55740 61314 66165 88220 102190 122628 132330 153285 204380 264660 306570 372529 613140 745058 1117587 1490116 1862645 2235174 3725290 4097819 4470348 5587935 7450580 8195638 11175870 12293457 16391276 20489095 22351740 24586914 40978190 49173828 61467285 81956380 122934570 245869140