Search a number
-
+
1369971540 = 22325723411153
BaseRepresentation
bin101000110101000…
…0001101101010100
310112110211202122200
41101222001231110
510301203042130
6343535124500
745643365060
oct12152015524
93473752580
101369971540
11643349993
12322973730
1318aa96862
14cdd36aa0
1580412760
hex51a81b54

1369971540 has 288 divisors, whose sum is σ = 5080997376. Its totient is φ = 291962880.

The previous prime is 1369971511. The next prime is 1369971553. The reversal of 1369971540 is 451799631.

1369971540 is a `hidden beast` number, since 1 + 36 + 9 + 9 + 71 + 540 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1187604 + ... + 1188756.

It is an arithmetic number, because the mean of its divisors is an integer number (17642352).

Almost surely, 21369971540 is an apocalyptic number.

1369971540 is a gapful number since it is divisible by the number (10) 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 1369971540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540498688).

1369971540 is an abundant number, since it is smaller than the sum of its proper divisors (3711025836).

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

1369971540 is a wasteful number, since it uses less digits than its factorization.

1369971540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1369971540 is about 37013.1265904409. The cubic root of 1369971540 is about 1110.6328507106.

The spelling of 1369971540 in words is "one billion, three hundred sixty-nine million, nine hundred seventy-one thousand, five hundred forty".