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102476416 = 277114371
BaseRepresentation
bin1100001101110…
…10101010000000
321010211100012211
412012322222000
5202213221131
614100231504
72353015030
oct606725200
9233740184
10102476416
1152933059
122a39b594
13182cca43
14d8778c0
158ee35b1
hex61baa80

102476416 has 32 divisors (see below), whose sum is σ = 233318880. Its totient is φ = 43918080.

The previous prime is 102476371. The next prime is 102476417. The reversal of 102476416 is 614674201.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (102476417) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 56290 + ... + 58081.

It is an arithmetic number, because the mean of its divisors is an integer number (7291215).

Almost surely, 2102476416 is an apocalyptic number.

102476416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102476416 is an abundant number, since it is smaller than the sum of its proper divisors (130842464).

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

102476416 is an equidigital number, since it uses as much as digits as its factorization.

102476416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114392 (or 114380 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 102476416 is about 10123.0635679126. The cubic root of 102476416 is about 467.9591850835.

The spelling of 102476416 in words is "one hundred two million, four hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 114371 228742 457484 800597 914968 1601194 1829936 3202388 3659872 6404776 7319744 12809552 14639488 25619104 51238208 102476416