Search a number
-
+
3902080 = 27571367
BaseRepresentation
bin1110111000101010000000
321100020122111
432320222000
51444331310
6215345104
745111220
oct16705200
97306574
103902080
112225766
121382194
13a68130
14738080
1552128a
hex3b8a80

3902080 has 128 divisors (see below), whose sum is σ = 11652480. Its totient is φ = 1216512.

The previous prime is 3902071. The next prime is 3902137. The reversal of 3902080 is 802093.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58207 + ... + 58273.

It is an arithmetic number, because the mean of its divisors is an integer number (91035).

Almost surely, 23902080 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 3902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826240).

3902080 is an abundant number, since it is smaller than the sum of its proper divisors (7750400).

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

3902080 is a wasteful number, since it uses less digits than its factorization.

3902080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 3902080 is about 1975.3683200862. The cubic root of 3902080 is about 157.4340699950.

The spelling of 3902080 in words is "three million, nine hundred two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 67 70 80 91 104 112 128 130 134 140 160 182 208 224 260 268 280 320 335 364 416 448 455 469 520 536 560 640 670 728 832 871 896 910 938 1040 1072 1120 1340 1456 1664 1742 1820 1876 2080 2144 2240 2345 2680 2912 3484 3640 3752 4160 4288 4355 4480 4690 5360 5824 6097 6968 7280 7504 8320 8576 8710 9380 10720 11648 12194 13936 14560 15008 17420 18760 21440 24388 27872 29120 30016 30485 34840 37520 42880 48776 55744 58240 60032 60970 69680 75040 97552 111488 121940 139360 150080 195104 243880 278720 300160 390208 487760 557440 780416 975520 1951040 3902080