Search a number
-
+
3749016960 = 27345135563
BaseRepresentation
bin1101111101110101…
…0111010110000000
3100200021102210110000
43133131113112000
530134222020320
61420002240000
7161622055413
oct33735272600
910607383400
103749016960
111654249a27
12887656000
13479926740
14277c9db7a
1516e1e9c90
hexdf757580

3749016960 has 320 divisors, whose sum is σ = 14420886480. Its totient is φ = 922669056.

The previous prime is 3749016949. The next prime is 3749017003. The reversal of 3749016960 is 696109473.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671139 + ... + 676701.

Almost surely, 23749016960 is an apocalyptic number.

3749016960 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 3749016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210443240).

3749016960 is an abundant number, since it is smaller than the sum of its proper divisors (10671869520).

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

3749016960 is a wasteful number, since it uses less digits than its factorization.

3749016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3749016960 is about 61229.2165554974. The cubic root of 3749016960 is about 1553.4804840529.

The spelling of 3749016960 in words is "three billion, seven hundred forty-nine million, sixteen thousand, nine hundred sixty".