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4172640 = 25358693
BaseRepresentation
bin1111111010101101100000
321211222210020
433322231200
52032011030
6225233440
750316063
oct17725540
97758706
104172640
11239aa6a
121492880
13b31324
147a88da
15576510
hex3fab60

4172640 has 48 divisors (see below), whose sum is σ = 13145328. Its totient is φ = 1112576.

The previous prime is 4172639. The next prime is 4172653. The reversal of 4172640 is 462714.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4172640.

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 7 ways as a sum of consecutive naturals, for example, 3867 + ... + 4826.

It is an arithmetic number, because the mean of its divisors is an integer number (273861).

Almost surely, 24172640 is an apocalyptic number.

4172640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4172640 is an abundant number, since it is smaller than the sum of its proper divisors (8972688).

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

4172640 is a wasteful number, since it uses less digits than its factorization.

4172640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8711 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4172640 is about 2042.7040901707. The cubic root of 4172640 is about 160.9917565832.

The spelling of 4172640 in words is "four million, one hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8693 17386 26079 34772 43465 52158 69544 86930 104316 130395 139088 173860 208632 260790 278176 347720 417264 521580 695440 834528 1043160 1390880 2086320 4172640