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261670420 = 225111637297
BaseRepresentation
bin11111001100011…
…00011000010100
3200020101020100001
433212030120110
51013441423140
641544301044
76325106344
oct1746143024
9606336301
10261670420
11124784950
1273771784
134229a68b
1426a76d24
1517e8be9a
hexf98c614

261670420 has 48 divisors (see below), whose sum is σ = 603223488. Its totient is φ = 94556160.

The previous prime is 261670403. The next prime is 261670421. The reversal of 261670420 is 24076162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261670421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32212 + ... + 39508.

It is an arithmetic number, because the mean of its divisors is an integer number (12567156).

Almost surely, 2261670420 is an apocalyptic number.

261670420 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 261670420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301611744).

261670420 is an abundant number, since it is smaller than the sum of its proper divisors (341553068).

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

261670420 is a wasteful number, since it uses less digits than its factorization.

261670420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 261670420 is about 16176.2300923299. The cubic root of 261670420 is about 639.6143672926.

The spelling of 261670420 in words is "two hundred sixty-one million, six hundred seventy thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 326 652 815 1630 1793 3260 3586 7172 7297 8965 14594 17930 29188 35860 36485 72970 80267 145940 160534 321068 401335 802670 1189411 1605340 2378822 4757644 5947055 11894110 13083521 23788220 26167042 52334084 65417605 130835210 261670420