Search a number
-
+
3855330160 = 2451131114087
BaseRepresentation
bin1110010111001011…
…1010101101110000
3100221200111001201221
43211302322231300
530343431031120
61434321034424
7164352523423
oct34562725560
910850431657
103855330160
1116a9262680
128b7185a14
1349596a966
142880559ba
151786ea0aa
hexe5cbab70

3855330160 has 80 divisors (see below), whose sum is σ = 9810657792. Its totient is φ = 1397331200.

The previous prime is 3855330121. The next prime is 3855330169. The reversal of 3855330160 is 610335583.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3855330169) 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, 266637 + ... + 280723.

Almost surely, 23855330160 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 3855330160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905328896).

3855330160 is an abundant number, since it is smaller than the sum of its proper divisors (5955327632).

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

3855330160 is a wasteful number, since it uses less digits than its factorization.

3855330160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14422 (or 14416 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 3855330160 is about 62091.3050273547. The cubic root of 3855330160 is about 1568.0281626727.

The spelling of 3855330160 in words is "three billion, eight hundred fifty-five million, three hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 311 440 622 880 1244 1555 2488 3110 3421 4976 6220 6842 12440 13684 14087 17105 24880 27368 28174 34210 54736 56348 68420 70435 112696 136840 140870 154957 225392 273680 281740 309914 563480 619828 774785 1126960 1239656 1549570 2479312 3099140 4381057 6198280 8762114 12396560 17524228 21905285 35048456 43810570 48191627 70096912 87621140 96383254 175242280 192766508 240958135 350484560 385533016 481916270 771066032 963832540 1927665080 3855330160