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5670080 = 265132947
BaseRepresentation
bin10101101000010011000000
3101200001212222
4111220103000
52422420310
6321310212
766123563
oct25502300
911601788
105670080
113223019
121a95368
131236aa0
14a784da
15770055
hex5684c0

5670080 has 112 divisors (see below), whose sum is σ = 15361920. Its totient is φ = 1978368.

The previous prime is 5670059. The next prime is 5670089. The reversal of 5670080 is 800765.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (5670089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120617 + ... + 120663.

It is an arithmetic number, because the mean of its divisors is an integer number (137160).

Almost surely, 25670080 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 5670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680960).

5670080 is an abundant number, since it is smaller than the sum of its proper divisors (9691840).

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

5670080 is a wasteful number, since it uses less digits than its factorization.

5670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 5670080 is about 2381.1929783199. The cubic root of 5670080 is about 178.3184972275.

The spelling of 5670080 in words is "five million, six hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 47 52 58 64 65 80 94 104 116 130 145 160 188 208 232 235 260 290 320 376 377 416 464 470 520 580 611 752 754 832 928 940 1040 1160 1222 1363 1504 1508 1856 1880 1885 2080 2320 2444 2726 3008 3016 3055 3760 3770 4160 4640 4888 5452 6032 6110 6815 7520 7540 9280 9776 10904 12064 12220 13630 15040 15080 17719 19552 21808 24128 24440 27260 30160 35438 39104 43616 48880 54520 60320 70876 87232 88595 97760 109040 120640 141752 177190 195520 218080 283504 354380 436160 567008 708760 1134016 1417520 2835040 5670080