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105426040 = 2353185021
BaseRepresentation
bin1100100100010…
…10110001111000
321100101012100011
412102022301320
5203442113130
614243351304
72420051356
oct622126170
9240335304
10105426040
1154568165
122b382534
1318ac3495
14100047d6
1593c752a
hex648ac78

105426040 has 32 divisors (see below), whose sum is σ = 244863360. Its totient is φ = 40809600.

The previous prime is 105426037. The next prime is 105426059. The reversal of 105426040 is 40624501.

It is a super-2 number, since 2×1054260402 = 22229299820163200, which contains 22 as substring.

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, 41271 + ... + 43750.

It is an arithmetic number, because the mean of its divisors is an integer number (7651980).

Almost surely, 2105426040 is an apocalyptic number.

105426040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105426040 is an abundant number, since it is smaller than the sum of its proper divisors (139437320).

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

105426040 is a wasteful number, since it uses less digits than its factorization.

105426040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85063 (or 85059 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 105426040 is about 10267.7183444035. The cubic root of 105426040 is about 472.4066088295.

The spelling of 105426040 in words is "one hundred five million, four hundred twenty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 85021 170042 340084 425105 680168 850210 1700420 2635651 3400840 5271302 10542604 13178255 21085208 26356510 52713020 105426040