Search a number
-
+
3977320140 = 2232522096223
BaseRepresentation
bin1110110100010001…
…0001011011001100
3101021012000210112100
43231010101123030
531121143221030
61454355435100
7200363443353
oct35504213314
911235023470
103977320140
111761103542
1292bbb5a90
134b5010591
1429a32c99a
15184295360
hexed1116cc

3977320140 has 36 divisors (see below), whose sum is σ = 12064538304. Its totient is φ = 1060618656.

The previous prime is 3977320133. The next prime is 3977320157. The reversal of 3977320140 is 410237793.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3977320095 and 3977320104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11047932 + ... + 11048291.

It is an arithmetic number, because the mean of its divisors is an integer number (335126064).

Almost surely, 23977320140 is an apocalyptic number.

3977320140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3977320140 is an abundant number, since it is smaller than the sum of its proper divisors (8087218164).

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

3977320140 is a wasteful number, since it uses less digits than its factorization.

3977320140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22096238 (or 22096233 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3977320140 is about 63065.9982875083. The cubic root of 3977320140 is about 1584.3951942853.

The spelling of 3977320140 in words is "three billion, nine hundred seventy-seven million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22096223 44192446 66288669 88384892 110481115 132577338 198866007 220962230 265154676 331443345 397732014 441924460 662886690 795464028 994330035 1325773380 1988660070 3977320140