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4107672 = 23352113
BaseRepresentation
bin1111101010110110011000
321201200200000
433222312120
52022421142
6224013000
746625502
oct17526630
97650600
104107672
112356178
121461160
13b0a89a
1478cd72
1556214c
hex3ead98

4107672 has 48 divisors (see below), whose sum is σ = 11542440. Its totient is φ = 1368576.

The previous prime is 4107643. The next prime is 4107683. The reversal of 4107672 is 2767014.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 888 + ... + 3000.

Almost surely, 24107672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4107672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771220).

4107672 is an abundant number, since it is smaller than the sum of its proper divisors (7434768).

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

4107672 is a wasteful number, since it uses less digits than its factorization.

4107672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 4107672 is about 2026.7392530861. The cubic root of 4107672 is about 160.1518350344.

The spelling of 4107672 in words is "four million, one hundred seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 2113 4226 6339 8452 12678 16904 19017 25356 38034 50712 57051 76068 114102 152136 171153 228204 342306 456408 513459 684612 1026918 1369224 2053836 4107672