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261420640 = 25513125683
BaseRepresentation
bin11111001010011…
…11011001100000
3200012220112200221
433211033121200
51013410430030
641535052424
76323016205
oct1745173140
9605815627
10261420640
11124624218
1273671114
1342210a90
1426a0dcac
1517e3ce7a
hexf94f660

261420640 has 48 divisors (see below), whose sum is σ = 665119728. Its totient is φ = 96523776.

The previous prime is 261420637. The next prime is 261420647. The reversal of 261420640 is 46024162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261420647) 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, 60762 + ... + 64921.

It is an arithmetic number, because the mean of its divisors is an integer number (13856661).

Almost surely, 2261420640 is an apocalyptic number.

261420640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261420640 is an abundant number, since it is smaller than the sum of its proper divisors (403699088).

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

261420640 is a wasteful number, since it uses less digits than its factorization.

261420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125711 (or 125703 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 261420640 is about 16168.5076615005. The cubic root of 261420640 is about 639.4107858331.

The spelling of 261420640 in words is "two hundred sixty-one million, four hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 125683 251366 502732 628415 1005464 1256830 1633879 2010928 2513660 3267758 4021856 5027320 6535516 8169395 10054640 13071032 16338790 20109280 26142064 32677580 52284128 65355160 130710320 261420640