Search a number
-
+
1960869352 = 2313177315193
BaseRepresentation
bin111010011100000…
…0111110111101000
312001122201111001211
41310320013313220
513003440304402
6522324122504
766410054161
oct16470076750
95048644054
101960869352
11916950192
12468836434
13253326430
141485d0768
15b72334d7
hex74e07de8

1960869352 has 64 divisors (see below), whose sum is σ = 4250065680. Its totient is φ = 840056832.

The previous prime is 1960869341. The next prime is 1960869373. The reversal of 1960869352 is 2539680691.

It can be written as a sum of positive squares in 8 ways, for example, as 1556618116 + 404251236 = 39454^2 + 20106^2 .

It is a super-2 number, since 2×19608693522 = 7690017231225799808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1960869296 and 1960869305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121468 + ... + 136660.

Almost surely, 21960869352 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 1960869352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125032840).

1960869352 is an abundant number, since it is smaller than the sum of its proper divisors (2289196328).

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

1960869352 is a wasteful number, since it uses less digits than its factorization.

1960869352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15302 (or 15298 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The square root of 1960869352 is about 44281.7044839062. The cubic root of 1960869352 is about 1251.6499496015.

The spelling of 1960869352 in words is "one billion, nine hundred sixty million, eight hundred sixty-nine thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 73 104 136 146 221 292 442 584 884 949 1241 1768 1898 2482 3796 4964 7592 9928 15193 16133 30386 32266 60772 64532 121544 129064 197509 258281 395018 516562 790036 1033124 1109089 1580072 2066248 2218178 3357653 4436356 6715306 8872712 13430612 14418157 18854513 26861224 28836314 37709026 57672628 75418052 115345256 150836104 245108669 490217338 980434676 1960869352