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102061776 = 24310132099
BaseRepresentation
bin1100001010101…
…01011011010000
321010001021102210
412011111123100
5202111434101
614043312120
72346340125
oct605253320
9233037383
10102061776
115267a583
122a21b640
13181b60ab
14d7aa74c
158e607d6
hex61556d0

102061776 has 40 divisors (see below), whose sum is σ = 264045600. Its totient is φ = 33970816.

The previous prime is 102061763. The next prime is 102061777. The reversal of 102061776 is 677160201.

It is a happy number.

It is a super-2 number, since 2×1020617762 = 20833212240548352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102061777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47575 + ... + 49673.

It is an arithmetic number, because the mean of its divisors is an integer number (6601140).

Almost surely, 2102061776 is an apocalyptic number.

102061776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102061776 is an abundant number, since it is smaller than the sum of its proper divisors (161983824).

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

102061776 is a wasteful number, since it uses less digits than its factorization.

102061776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 102061776 is about 10102.5628431601. The cubic root of 102061776 is about 467.3271798709.

The spelling of 102061776 in words is "one hundred two million, sixty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 1013 2026 2099 3039 4052 4198 6078 6297 8104 8396 12156 12594 16208 16792 24312 25188 33584 48624 50376 100752 2126287 4252574 6378861 8505148 12757722 17010296 25515444 34020592 51030888 102061776