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102001416 = 23311386369
BaseRepresentation
bin1100001010001…
…10101100001000
321002221012122020
412011012230020
5202103021131
614042124440
72345666136
oct605065410
9232835566
10102001416
11526391a0
122a1b0720
131819478a
14d792756
158e4c996
hex6146b08

102001416 has 32 divisors (see below), whose sum is σ = 278186400. Its totient is φ = 30909440.

The previous prime is 102001391. The next prime is 102001433. The reversal of 102001416 is 614100201.

It is a junction number, because it is equal to n+sod(n) for n = 102001395 and 102001404.

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, 192921 + ... + 193448.

It is an arithmetic number, because the mean of its divisors is an integer number (8693325).

Almost surely, 2102001416 is an apocalyptic number.

It is an amenable number.

102001416 is an abundant number, since it is smaller than the sum of its proper divisors (176184984).

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

102001416 is a wasteful number, since it uses less digits than its factorization.

102001416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386389 (or 386385 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 102001416 is about 10099.5750405648. The cubic root of 102001416 is about 467.2350349227.

Adding to 102001416 its reverse (614100201), we get a palindrome (716101617).

The spelling of 102001416 in words is "one hundred two million, one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 386369 772738 1159107 1545476 2318214 3090952 4250059 4636428 8500118 9272856 12750177 17000236 25500354 34000472 51000708 102001416