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1261106088 = 2331127117627
BaseRepresentation
bin100101100101010…
…1111001110101000
310020212222211022220
41023022233032220
510040320343323
6325045514040
743152140064
oct11312571650
93225884286
101261106088
11597952740
122b2412920
1317136aa28
14bd6b8aa4
1575aab0e3
hex4b2af3a8

1261106088 has 64 divisors (see below), whose sum is σ = 3452267520. Its totient is φ = 380721600.

The previous prime is 1261106083. The next prime is 1261106117. The reversal of 1261106088 is 8806011621.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1261106083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62731 + ... + 80357.

It is an arithmetic number, because the mean of its divisors is an integer number (53941680).

Almost surely, 21261106088 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 1261106088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726133760).

1261106088 is an abundant number, since it is smaller than the sum of its proper divisors (2191161432).

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

1261106088 is a wasteful number, since it uses less digits than its factorization.

1261106088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17918 (or 17914 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 1261106088 is about 35512.0555304815. The cubic root of 1261106088 is about 1080.3982550440.

The spelling of 1261106088 in words is "one billion, two hundred sixty-one million, one hundred six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 271 542 813 1084 1626 2168 2981 3252 5962 6504 8943 11924 17627 17886 23848 35254 35772 52881 70508 71544 105762 141016 193897 211524 387794 423048 581691 775588 1163382 1551176 2326764 4653528 4776917 9553834 14330751 19107668 28661502 38215336 52546087 57323004 105092174 114646008 157638261 210184348 315276522 420368696 630553044 1261106088