Search a number
-
+
1370924672 = 2713899257
BaseRepresentation
bin101000110110110…
…1010011010000000
310112112122012002212
41101231222122000
510301424042142
6344011401252
745654444635
oct12155523200
93475565085
101370924672
1164393aaa7
12323153228
1318b03b640
14d010418c
158054ed82
hex51b6a680

1370924672 has 64 divisors (see below), whose sum is σ = 2974595400. Its totient is φ = 625557504.

The previous prime is 1370924671. The next prime is 1370924677. The reversal of 1370924672 is 2764290731.

It can be written as a sum of positive squares in 4 ways, for example, as 373880896 + 997043776 = 19336^2 + 31576^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1370924671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143468 + ... + 152724.

Almost surely, 21370924672 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 1370924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487297700).

1370924672 is an abundant number, since it is smaller than the sum of its proper divisors (1603670728).

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

1370924672 is an equidigital number, since it uses as much as digits as its factorization.

1370924672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9373 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 1370924672 is about 37025.9999459839. Note that the first 4 decimals coincide. The cubic root of 1370924672 is about 1110.8903583250.

The spelling of 1370924672 in words is "one billion, three hundred seventy million, nine hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 356 416 712 832 1157 1424 1664 2314 2848 4628 5696 9256 9257 11392 18512 18514 37024 37028 74048 74056 120341 148096 148112 240682 296224 481364 592448 823873 962728 1184896 1647746 1925456 3295492 3850912 6590984 7701824 10710349 13181968 15403648 21420698 26363936 42841396 52727872 85682792 105455744 171365584 342731168 685462336 1370924672