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101427424 = 2572319687
BaseRepresentation
bin1100000101110…
…10100011100000
321001212001021021
412002322203200
5201431134144
614021535224
72341055530
oct602724340
9231761237
10101427424
1152286a1a
1229b74514
1318023437
14d6834c0
158d87884
hex60ba8e0

101427424 has 48 divisors (see below), whose sum is σ = 238146048. Its totient is φ = 41576832.

The previous prime is 101427419. The next prime is 101427433. The reversal of 101427424 is 424724101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4692 + ... + 14995.

It is an arithmetic number, because the mean of its divisors is an integer number (4961376).

Almost surely, 2101427424 is an apocalyptic number.

101427424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101427424 is an abundant number, since it is smaller than the sum of its proper divisors (136718624).

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

101427424 is a wasteful number, since it uses less digits than its factorization.

101427424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19727 (or 19719 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 101427424 is about 10071.1183093041. The cubic root of 101427424 is about 466.3569627641.

The spelling of 101427424 in words is "one hundred one million, four hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 19687 39374 78748 137809 157496 275618 314992 452801 551236 629984 905602 1102472 1811204 2204944 3169607 3622408 4409888 6339214 7244816 12678428 14489632 25356856 50713712 101427424