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37300107 = 3133725849
BaseRepresentation
bin1000111001001…
…0011110001011
32121012001010110
42032102132023
534022100412
63411245403
7632021445
oct216223613
977161113
1037300107
111a067139
12105a9863
13795c990
144d4d495
15341bd3c
hex239278b

37300107 has 16 divisors (see below), whose sum is σ = 55008800. Its totient is φ = 22332672.

The previous prime is 37300103. The next prime is 37300139. The reversal of 37300107 is 70100373.

37300107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 37300107 - 22 = 37300103 is a prime.

It is a super-2 number, since 2×373001072 = 2782595964422898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37300103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11482 + ... + 14367.

It is an arithmetic number, because the mean of its divisors is an integer number (3438050).

Almost surely, 237300107 is an apocalyptic number.

37300107 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

37300107 is a deficient number, since it is larger than the sum of its proper divisors (17708693).

37300107 is a wasteful number, since it uses less digits than its factorization.

37300107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25902.

The product of its (nonzero) digits is 441, while the sum is 21.

The square root of 37300107 is about 6107.3813537391. The cubic root of 37300107 is about 334.1206820042.

The spelling of 37300107 in words is "thirty-seven million, three hundred thousand, one hundred seven".

Divisors: 1 3 13 37 39 111 481 1443 25849 77547 336037 956413 1008111 2869239 12433369 37300107