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3870272 = 26753163
BaseRepresentation
bin1110110000111001000000
321021122000102
432300321000
51442322042
6214541532
744616410
oct16607100
97248012
103870272
11220387a
1213678a8
13a56803
1472a640
15516b32
hex3b0e40

3870272 has 56 divisors (see below), whose sum is σ = 8997696. Its totient is φ = 1617408.

The previous prime is 3870259. The next prime is 3870283. The reversal of 3870272 is 2720783.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23663 + ... + 23825.

Almost surely, 23870272 is an apocalyptic number.

3870272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498848).

3870272 is an abundant number, since it is smaller than the sum of its proper divisors (5127424).

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

3870272 is a wasteful number, since it uses less digits than its factorization.

3870272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 3870272 is about 1967.3006887611. The cubic root of 3870272 is about 157.0051251251.

The spelling of 3870272 in words is "three million, eight hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 163 212 224 326 371 424 448 652 742 848 1141 1304 1484 1696 2282 2608 2968 3392 4564 5216 5936 8639 9128 10432 11872 17278 18256 23744 34556 36512 60473 69112 73024 120946 138224 241892 276448 483784 552896 967568 1935136 3870272