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102435080 = 235111912253
BaseRepresentation
bin1100001101100…
…00100100001000
321010202020111212
412012300210020
5202210410310
614055312252
72352453356
oct606604410
9233666455
10102435080
1152904aa0
122a37b688
13182b6c97
14d8667d6
158ed6205
hex61b0908

102435080 has 64 divisors (see below), whose sum is σ = 264686400. Its totient is φ = 35285760.

The previous prime is 102435071. The next prime is 102435083. The reversal of 102435080 is 80534201.

It is a super-2 number, since 2×1024350802 = 20985891229212800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102435083) 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, 2234 + ... + 14486.

It is an arithmetic number, because the mean of its divisors is an integer number (4135725).

Almost surely, 2102435080 is an apocalyptic number.

102435080 is a gapful number since it is divisible by the number (10) 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 102435080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132343200).

102435080 is an abundant number, since it is smaller than the sum of its proper divisors (162251320).

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

102435080 is a wasteful number, since it uses less digits than its factorization.

102435080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12294 (or 12290 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 102435080 is about 10121.0216875570. The cubic root of 102435080 is about 467.8962562553.

Adding to 102435080 its reverse (80534201), we get a palindrome (182969281).

The spelling of 102435080 in words is "one hundred two million, four hundred thirty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 12253 24506 49012 61265 98024 122530 134783 232807 245060 269566 465614 490120 539132 673915 931228 1078264 1164035 1347830 1862456 2328070 2560877 2695660 4656140 5121754 5391320 9312280 10243508 12804385 20487016 25608770 51217540 102435080