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61261740 = 223252111613
BaseRepresentation
bin1110100110110…
…0011110101100
311021021102022100
43221230132230
5111140333430
610025015100
71342500441
oct351543654
9137242270
1061261740
1131642941
1218624490
13c8cc367
1481c99c8
1555a1960
hex3a6c7ac

61261740 has 72 divisors (see below), whose sum is σ = 186823728. Its totient is φ = 16248960.

The previous prime is 61261721. The next prime is 61261741. The reversal of 61261740 is 4716216.

61261740 is a `hidden beast` number, since 6 + 1 + 2 + 617 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (61261741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37174 + ... + 38786.

It is an arithmetic number, because the mean of its divisors is an integer number (2594774).

Almost surely, 261261740 is an apocalyptic number.

61261740 is a gapful number since it is divisible by the number (60) 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 61261740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93411864).

61261740 is an abundant number, since it is smaller than the sum of its proper divisors (125561988).

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

61261740 is a wasteful number, since it uses less digits than its factorization.

61261740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 61261740 is about 7826.9879263993. The cubic root of 61261740 is about 394.2119415942.

Adding to 61261740 its reverse (4716216), we get a palindrome (65977956).

It can be divided in two parts, 61261 and 740, that added together give a square (62001 = 2492).

The spelling of 61261740 in words is "sixty-one million, two hundred sixty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 633 844 1055 1266 1613 1899 2110 2532 3165 3226 3798 4220 4839 6330 6452 7596 8065 9495 9678 12660 14517 16130 18990 19356 24195 29034 32260 37980 48390 58068 72585 96780 145170 290340 340343 680686 1021029 1361372 1701715 2042058 3063087 3403430 4084116 5105145 6126174 6806860 10210290 12252348 15315435 20420580 30630870 61261740