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3507140 = 2257134147
BaseRepresentation
bin1101011000001111000100
320121011220002
431120033010
51344212030
6203100432
741544620
oct15301704
96534802
103507140
111a85a6a
121211718
1395a440
14674180
15494245
hex3583c4

3507140 has 96 divisors (see below), whose sum is σ = 9483264. Its totient is φ = 1059840.

The previous prime is 3507113. The next prime is 3507143. The reversal of 3507140 is 417053.

It is a happy number.

3507140 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3507143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74597 + ... + 74643.

It is an arithmetic number, because the mean of its divisors is an integer number (98784).

Almost surely, 23507140 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 3507140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741632).

3507140 is an abundant number, since it is smaller than the sum of its proper divisors (5976124).

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

3507140 is a wasteful number, since it uses less digits than its factorization.

3507140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 3507140 is about 1872.7359664405. The cubic root of 3507140 is about 151.9326224923.

The spelling of 3507140 in words is "three million, five hundred seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 41 47 52 65 70 82 91 94 130 140 164 182 188 205 235 260 287 329 364 410 455 470 533 574 611 658 820 910 940 1066 1148 1222 1316 1435 1645 1820 1927 2132 2444 2665 2870 3055 3290 3731 3854 4277 5330 5740 6110 6580 7462 7708 8554 9635 10660 12220 13489 14924 17108 18655 19270 21385 25051 26978 37310 38540 42770 50102 53956 67445 74620 85540 100204 125255 134890 175357 250510 269780 350714 501020 701428 876785 1753570 3507140