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261140808 = 233174167233
BaseRepresentation
bin11111001000010…
…11000101001000
3200012101022211210
433210023011020
51013323001213
641525053120
76320442315
oct1744130510
9605338753
10261140808
11124452a55
12735571a0
13421435b6
1426979d0c
1517dd50c3
hexf90b148

261140808 has 128 divisors (see below), whose sum is σ = 721768320. Its totient is φ = 78397440.

The previous prime is 261140801. The next prime is 261140809. The reversal of 261140808 is 808041162.

261140808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (261140801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120660 + ... + 1120892.

It is an arithmetic number, because the mean of its divisors is an integer number (5638815).

Almost surely, 2261140808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261140808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360884160).

261140808 is an abundant number, since it is smaller than the sum of its proper divisors (460627512).

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

261140808 is a wasteful number, since it uses less digits than its factorization.

261140808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 261140808 is about 16159.8517319931. The cubic root of 261140808 is about 639.1825566211.

The spelling of 261140808 in words is "two hundred sixty-one million, one hundred forty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 67 68 82 102 123 134 136 164 201 204 233 246 268 328 402 408 466 492 536 697 699 804 932 984 1139 1394 1398 1608 1864 2091 2278 2747 2788 2796 3417 3961 4182 4556 5494 5576 5592 6834 7922 8241 8364 9112 9553 10988 11883 13668 15611 15844 16482 16728 19106 21976 23766 27336 28659 31222 31688 32964 38212 46699 46833 47532 57318 62444 65928 76424 93398 93666 95064 114636 124888 140097 162401 186796 187332 229272 265387 280194 324802 373592 374664 487203 530774 560388 640051 649604 796161 974406 1061548 1120776 1280102 1299208 1592322 1920153 1948812 2123096 2560204 3184644 3840306 3897624 5120408 6369288 7680612 10880867 15361224 21761734 32642601 43523468 65285202 87046936 130570404 261140808