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106417420 = 22531171641
BaseRepresentation
bin1100101011111…
…00110100001100
321102020120020221
412111330310030
5204220324140
614320521124
72431350604
oct625746414
9242216227
10106417420
1155084a8a
122b7801a4
131907c7b5
14101c1c04
15952114a
hex657cd0c

106417420 has 24 divisors (see below), whose sum is σ = 230686848. Its totient is φ = 41193600.

The previous prime is 106417397. The next prime is 106417471. The reversal of 106417420 is 24714601.

It is a super-2 number, since 2×1064174202 = 22649334558912800, which contains 22 as substring.

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, 85201 + ... + 86440.

It is an arithmetic number, because the mean of its divisors is an integer number (9611952).

Almost surely, 2106417420 is an apocalyptic number.

106417420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106417420 is an abundant number, since it is smaller than the sum of its proper divisors (124269428).

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

106417420 is a wasteful number, since it uses less digits than its factorization.

106417420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171681 (or 171679 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 106417420 is about 10315.8819303053. The cubic root of 106417420 is about 473.8827592558.

The spelling of 106417420 in words is "one hundred six million, four hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 171641 343282 686564 858205 1716410 3432820 5320871 10641742 21283484 26604355 53208710 106417420