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106707460 = 22511234751
BaseRepresentation
bin1100101110000…
…11101000000100
321102210022010011
412113003220010
5204304114320
614331040004
72433666316
oct627035004
9242708104
10106707460
1155262992
122b8a0004
1319151812
14102597b6
15957c05a
hex65c3a04

106707460 has 24 divisors (see below), whose sum is σ = 224332416. Its totient is φ = 42636000.

The previous prime is 106707457. The next prime is 106707473. The reversal of 106707460 is 64707601.

It is a super-2 number, since 2×1067074602 = 22772964039303200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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, 20085 + ... + 24835.

It is an arithmetic number, because the mean of its divisors is an integer number (9347184).

Almost surely, 2106707460 is an apocalyptic number.

106707460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106707460 is an abundant number, since it is smaller than the sum of its proper divisors (117624956).

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

106707460 is a wasteful number, since it uses less digits than its factorization.

106707460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 106707460 is about 10329.9302998617. The cubic root of 106707460 is about 474.3128901992.

The spelling of 106707460 in words is "one hundred six million, seven hundred seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 1123 2246 4492 4751 5615 9502 11230 19004 22460 23755 47510 95020 5335373 10670746 21341492 26676865 53353730 106707460