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103976327 = 7133730881
BaseRepresentation
bin1100011001010…
…00110110000111
321020122112201002
412030220312013
5203104220302
614152323515
72401532660
oct614506607
9236575632
10103976327
1153767a54
122a9a359b
1318706670
14db48367
1591dcc02
hex6328d87

103976327 has 16 divisors (see below), whose sum is σ = 131433792. Its totient is φ = 80040960.

The previous prime is 103976321. The next prime is 103976329. The reversal of 103976327 is 723679301.

103976327 is nontrivially palindromic in base 9.

It is a cyclic number.

It is not a de Polignac number, because 103976327 - 24 = 103976311 is a prime.

It is a super-3 number, since 3×1039763273 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103976321) 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, 12074 + ... + 18807.

It is an arithmetic number, because the mean of its divisors is an integer number (8214612).

Almost surely, 2103976327 is an apocalyptic number.

103976327 is a deficient number, since it is larger than the sum of its proper divisors (27457465).

103976327 is a wasteful number, since it uses less digits than its factorization.

103976327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30938.

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 103976327 is about 10196.8782968122. The cubic root of 103976327 is about 470.2312533326.

The spelling of 103976327 in words is "one hundred three million, nine hundred seventy-six thousand, three hundred twenty-seven".

Divisors: 1 7 13 37 91 259 481 3367 30881 216167 401453 1142597 2810171 7998179 14853761 103976327