Search a number
-
+
3741139740 = 22351311234271
BaseRepresentation
bin1101111011111101…
…0100001100011100
3100122201121120221010
43132333110030130
530130212432430
61415121335220
7161465106642
oct33677241434
910581546833
103741139740
11164a859728
12884a97510
134780c9170
14276c0d192
1516d690cb0
hexdefd431c

3741139740 has 96 divisors (see below), whose sum is σ = 11293664256. Its totient is φ = 919860480.

The previous prime is 3741139709. The next prime is 3741139741. The reversal of 3741139740 is 479311473.

It is a super-2 number, since 2×37411397402 = 27992253108414535200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3741139741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873805 + ... + 878075.

It is an arithmetic number, because the mean of its divisors is an integer number (117642336).

Almost surely, 23741139740 is an apocalyptic number.

3741139740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3741139740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646832128).

3741139740 is an abundant number, since it is smaller than the sum of its proper divisors (7552524516).

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

3741139740 is a wasteful number, since it uses less digits than its factorization.

3741139740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 3741139740 is about 61164.8570667830. The cubic root of 3741139740 is about 1552.3916930156.

The spelling of 3741139740 in words is "three billion, seven hundred forty-one million, one hundred thirty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1123 2246 3369 4271 4492 5615 6738 8542 11230 12813 13476 14599 16845 17084 21355 22460 25626 29198 33690 42710 43797 51252 55523 58396 64065 67380 72995 85420 87594 111046 128130 145990 166569 175188 218985 222092 256260 277615 291980 333138 437970 555230 666276 832845 875940 1110460 1665690 3331380 4796333 9592666 14388999 19185332 23981665 28777998 47963330 57555996 62352329 71944995 95926660 124704658 143889990 187056987 249409316 287779980 311761645 374113974 623523290 748227948 935284935 1247046580 1870569870 3741139740