Search a number
-
+
3970337250 = 2353111728309
BaseRepresentation
bin1110110010100110…
…1000100111100010
3101020200220000210210
43230221220213202
531112401243000
61453550034550
7200250211155
oct35451504742
911220800723
103970337250
111758174160
129297a8a56
134b37370a9
14299431c9c
15183866350
hexeca689e2

3970337250 has 128 divisors (see below), whose sum is σ = 11447205120. Its totient is φ = 905856000.

The previous prime is 3970337243. The next prime is 3970337251. The reversal of 3970337250 is 527330793.

3970337250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3970337199 and 3970337208.

It is not an unprimeable number, because it can be changed into a prime (3970337251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126096 + ... + 154404.

It is an arithmetic number, because the mean of its divisors is an integer number (89431290).

Almost surely, 23970337250 is an apocalyptic number.

3970337250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3970337250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723602560).

3970337250 is an abundant number, since it is smaller than the sum of its proper divisors (7476867870).

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

3970337250 is a wasteful number, since it uses less digits than its factorization.

3970337250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28357 (or 28347 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 39.

The square root of 3970337250 is about 63010.6122014379. The cubic root of 3970337250 is about 1583.4674223159.

The spelling of 3970337250 in words is "three billion, nine hundred seventy million, three hundred thirty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 17 22 25 30 33 34 50 51 55 66 75 85 102 110 125 150 165 170 187 250 255 275 330 374 375 425 510 550 561 750 825 850 935 1122 1275 1375 1650 1870 2125 2550 2750 2805 4125 4250 4675 5610 6375 8250 9350 12750 14025 23375 28050 28309 46750 56618 70125 84927 140250 141545 169854 283090 311399 424635 481253 622798 707725 849270 934197 962506 1415450 1443759 1556995 1868394 2123175 2406265 2887518 3113990 3538625 4246350 4670985 4812530 5293783 7077250 7218795 7784975 9341970 10587566 10615875 12031325 14437590 15569950 15881349 21231750 23354925 24062650 26468915 31762698 36093975 38924875 46709850 52937830 60156625 72187950 77849750 79406745 116774625 120313250 132344575 158813490 180469875 233549250 264689150 360939750 397033725 661722875 794067450 1323445750 1985168625 3970337250