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3807006 = 237223563
BaseRepresentation
bin1110100001011100011110
321011102020020
432201130132
51433311011
6213333010
744234100
oct16413436
97142206
103807006
112170295
121337166
13a33a88
14711570
15503006
hex3a171e

3807006 has 48 divisors (see below), whose sum is σ = 9258624. Its totient is φ = 1038576.

The previous prime is 3806981. The next prime is 3807053. The reversal of 3807006 is 6007083.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6481 + ... + 7043.

It is an arithmetic number, because the mean of its divisors is an integer number (192888).

Almost surely, 23807006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3807006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629312).

3807006 is an abundant number, since it is smaller than the sum of its proper divisors (5451618).

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

3807006 is a wasteful number, since it uses less digits than its factorization.

3807006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3807006 is about 1951.1550425325. The cubic root of 3807006 is about 156.1449179322.

The spelling of 3807006 in words is "three million, eight hundred seven thousand, six".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 483 563 966 1126 1127 1689 2254 3378 3381 3941 6762 7882 11823 12949 23646 25898 27587 38847 55174 77694 82761 90643 165522 181286 271929 543858 634501 1269002 1903503 3807006