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261101960 = 23576115287
BaseRepresentation
bin11111001000000…
…01100110001000
3200012022100112222
433210001212020
51013320230320
641524153212
76320221130
oct1744014610
9605270488
10261101960
11124426849
1273538808
134212ba02
1426969ac0
1517dc8825
hexf901988

261101960 has 64 divisors (see below), whose sum is σ = 682456320. Its totient is φ = 88047360.

The previous prime is 261101941. The next prime is 261101989. The reversal of 261101960 is 69101162.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9437 + ... + 24723.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380).

Almost surely, 2261101960 is an apocalyptic number.

261101960 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 261101960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

261101960 is an abundant number, since it is smaller than the sum of its proper divisors (421354360).

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

261101960 is a wasteful number, since it uses less digits than its factorization.

261101960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15366 (or 15362 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 261101960 is about 16158.6496960606. The cubic root of 261101960 is about 639.1508595511.

The spelling of 261101960 in words is "two hundred sixty-one million, one hundred one thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1708 2135 2440 3416 4270 8540 15287 17080 30574 61148 76435 107009 122296 152870 214018 305740 428036 535045 611480 856072 932507 1070090 1865014 2140180 3730028 4280360 4662535 6527549 7460056 9325070 13055098 18650140 26110196 32637745 37300280 52220392 65275490 130550980 261101960