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101427776 = 2619239349
BaseRepresentation
bin1100000101110…
…10101001000000
321001212001202022
412002322221000
5201431142101
614021541012
72341056542
oct602725100
9231761668
10101427776
115228720a
1229b74768
1318023648
14d683692
158d87a1b
hex60baa40

101427776 has 56 divisors (see below), whose sum is σ = 213360000. Its totient is φ = 47706624.

The previous prime is 101427751. The next prime is 101427787. The reversal of 101427776 is 677724101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290450 + ... + 290798.

It is an arithmetic number, because the mean of its divisors is an integer number (3810000).

Almost surely, 2101427776 is an apocalyptic number.

101427776 is a gapful number since it is divisible by the number (16) 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 101427776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106680000).

101427776 is an abundant number, since it is smaller than the sum of its proper divisors (111932224).

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

101427776 is a wasteful number, since it uses less digits than its factorization.

101427776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The square root of 101427776 is about 10071.1357850046. The cubic root of 101427776 is about 466.3575022548.

The spelling of 101427776 in words is "one hundred one million, four hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 239 304 349 478 608 698 956 1216 1396 1912 2792 3824 4541 5584 6631 7648 9082 11168 13262 15296 18164 22336 26524 36328 53048 72656 83411 106096 145312 166822 212192 290624 333644 424384 667288 1334576 1584809 2669152 3169618 5338304 6339236 12678472 25356944 50713888 101427776