Search a number
-
+
1300690944 = 21132717593
BaseRepresentation
bin100110110000110…
…1111100000000000
310100122110221112200
41031201233200000
510130434102234
6333022153200
744142455610
oct11541574000
93318427480
101300690944
1160822a3a3
12303722800
1317961a617
14c4a60a40
15792c9d99
hex4d86f800

1300690944 has 288 divisors, whose sum is σ = 4553508960. Its totient is φ = 349175808.

The previous prime is 1300690943. The next prime is 1300690969. The reversal of 1300690944 is 4490960031.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13006909442 = 3383593863607222272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1300690899 and 1300690908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300690943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2193112 + ... + 2193704.

It is an arithmetic number, because the mean of its divisors is an integer number (15810795).

Almost surely, 21300690944 is an apocalyptic number.

1300690944 is a gapful number since it is divisible by the number (14) 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 1300690944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276754480).

1300690944 is an abundant number, since it is smaller than the sum of its proper divisors (3252818016).

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

1300690944 is a wasteful number, since it uses less digits than its factorization.

1300690944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1300690944 is about 36065.0931511344. The cubic root of 1300690944 is about 1091.5862055752.

The spelling of 1300690944 in words is "one billion, three hundred million, six hundred ninety thousand, nine hundred forty-four".