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1373984640 = 27335737307
BaseRepresentation
bin101000111100101…
…0101011110000000
310112202101122121000
41101321111132000
510303220002030
6344201132000
746022451060
oct12171253600
93482348530
101373984640
1164563aaa6
1232418a000
1318b870382
14d069d3a0
1580956860
hex51e55780

1373984640 has 512 divisors, whose sum is σ = 5730278400. Its totient is φ = 304570368.

The previous prime is 1373984629. The next prime is 1373984663. The reversal of 1373984640 is 464893731.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4475367 + ... + 4475673.

It is an arithmetic number, because the mean of its divisors is an integer number (11191950).

Almost surely, 21373984640 is an apocalyptic number.

1373984640 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 1373984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865139200).

1373984640 is an abundant number, since it is smaller than the sum of its proper divisors (4356293760).

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

1373984640 is a wasteful number, since it uses less digits than its factorization.

1373984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 1373984640 is about 37067.2987955691. The cubic root of 1373984640 is about 1111.7162638920.

Subtracting from 1373984640 its reverse (464893731), we obtain a palindrome (909090909).

The spelling of 1373984640 in words is "one billion, three hundred seventy-three million, nine hundred eighty-four thousand, six hundred forty".