Search a number
-
+
3979422720 = 210325713273
BaseRepresentation
bin1110110100110001…
…0010110000000000
3101021022222121201200
43231030102300000
531122213011340
61454512501200
7200420351340
oct35514226000
911238877650
103979422720
11176230a209
1293084a800
134b5598600
1429a718d20
1518455d330
hexed312c00

3979422720 has 792 divisors, whose sum is σ = 17297575776. Its totient is φ = 828112896.

The previous prime is 3979422709. The next prime is 3979422739. The reversal of 3979422720 is 272249793.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54512604 + ... + 54512676.

Almost surely, 23979422720 is an apocalyptic number.

3979422720 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 3979422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648787888).

3979422720 is an abundant number, since it is smaller than the sum of its proper divisors (13318153056).

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

3979422720 is a wasteful number, since it uses less digits than its factorization.

3979422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3979422720 is about 63082.6657648518. The cubic root of 3979422720 is about 1584.6743379195.

The spelling of 3979422720 in words is "three billion, nine hundred seventy-nine million, four hundred twenty-two thousand, seven hundred twenty".