Search a number
-
+
3985405140 = 2235131507049
BaseRepresentation
bin1110110110001100…
…0111010011010100
3101021202020120001210
43231203013103110
531130230431030
61455245021420
7200522245653
oct35543072324
911252216053
103985405140
111765725962
12932854870
134b68b15c2
1429b43519a
15184d40bb0
hexed8c74d4

3985405140 has 48 divisors (see below), whose sum is σ = 11244340800. Its totient is φ = 1054659840.

The previous prime is 3985405133. The next prime is 3985405159. The reversal of 3985405140 is 415045893.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245665 + ... + 261384.

It is an arithmetic number, because the mean of its divisors is an integer number (234257100).

Almost surely, 23985405140 is an apocalyptic number.

3985405140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3985405140 is an abundant number, since it is smaller than the sum of its proper divisors (7258935660).

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

3985405140 is a wasteful number, since it uses less digits than its factorization.

3985405140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507192 (or 507190 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 3985405140 is about 63130.0652621237. The cubic root of 3985405140 is about 1585.4680410467.

The spelling of 3985405140 in words is "three billion, nine hundred eighty-five million, four hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 507049 1014098 1521147 2028196 2535245 3042294 5070490 6084588 7605735 10140980 15211470 30422940 66423419 132846838 199270257 265693676 332117095 398540514 664234190 797081028 996351285 1328468380 1992702570 3985405140