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261204740 = 22529716343
BaseRepresentation
bin11111001000110…
…10101100000100
3200012111120112122
433210122230010
51013332022430
641530305112
76321126566
oct1744325404
9605446478
10261204740
11124496a95
1273588198
1342166724
1426995336
1517de8ee5
hexf91ab04

261204740 has 48 divisors (see below), whose sum is σ = 575527680. Its totient is φ = 99442560.

The previous prime is 261204737. The next prime is 261204743. The reversal of 261204740 is 47402162.

It is an interprime number because it is at equal distance from previous prime (261204737) and next prime (261204743).

It is not an unprimeable number, because it can be changed into a prime (261204743) 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, 38009 + ... + 44351.

It is an arithmetic number, because the mean of its divisors is an integer number (11990160).

Almost surely, 2261204740 is an apocalyptic number.

261204740 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 261204740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287763840).

261204740 is an abundant number, since it is smaller than the sum of its proper divisors (314322940).

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

261204740 is a wasteful number, since it uses less digits than its factorization.

261204740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 261204740 is about 16161.8297231471. The cubic root of 261204740 is about 639.2347135209.

The spelling of 261204740 in words is "two hundred sixty-one million, two hundred four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 58 71 116 142 145 284 290 355 580 710 1420 2059 4118 6343 8236 10295 12686 20590 25372 31715 41180 63430 126860 183947 367894 450353 735788 900706 919735 1801412 1839470 2251765 3678940 4503530 9007060 13060237 26120474 52240948 65301185 130602370 261204740