Search a number
-
+
3920479300 = 2252371099721
BaseRepresentation
bin1110100110101101…
…1100010001000100
3101010020001222120001
43221223130101010
531012120314200
61445005251044
7166103344543
oct35153342104
911106058501
103920479300
111732010141
12914b63a84
134a62cb54a
1429297415a
1517e2b876a
hexe9adc444

3920479300 has 72 divisors (see below), whose sum is σ = 8818437320. Its totient is φ = 1511654400.

The previous prime is 3920479279. The next prime is 3920479363. The reversal of 3920479300 is 39740293.

It can be written as a sum of positive squares in 12 ways, for example, as 966339396 + 2954139904 = 31086^2 + 54352^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 3920479300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398440 + ... + 408160.

Almost surely, 23920479300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3920479300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409218660).

3920479300 is an abundant number, since it is smaller than the sum of its proper divisors (4897958020).

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

3920479300 is a wasteful number, since it uses less digits than its factorization.

3920479300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881 (or 9874 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 3920479300 is about 62613.7309222187. The cubic root of 3920479300 is about 1576.8112931698.

The spelling of 3920479300 in words is "three billion, nine hundred twenty million, four hundred seventy-nine thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 109 148 185 218 370 436 545 740 925 1090 1850 2180 2725 3700 4033 5450 8066 9721 10900 16132 19442 20165 38884 40330 48605 80660 97210 100825 194420 201650 243025 359677 403300 486050 719354 972100 1059589 1438708 1798385 2119178 3596770 4238356 5297945 7193540 8991925 10595890 17983850 21191780 26489725 35967700 39204793 52979450 78409586 105958900 156819172 196023965 392047930 784095860 980119825 1960239650 3920479300