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1373552640 = 21436523
BaseRepresentation
bin101000111011110…
…1100000000000000
310112201120201000000
41101313230000000
510303112141030
6344144000000
746016001435
oct12167540000
93481521000
101373552640
11645375479
12324000000
1318b74b855
14d05c9b8c
15808bd860
hex51dec000

1373552640 has 420 divisors, whose sum is σ = 5157263664. Its totient is φ = 350355456.

The previous prime is 1373552623. The next prime is 1373552657. The reversal of 1373552640 is 462553731.

1373552640 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 5 + 5 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1373552623) and next prime (1373552657).

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 = 1373552595 and 1373552604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59719669 + ... + 59719691.

Almost surely, 21373552640 is an apocalyptic number.

1373552640 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 1373552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578631832).

1373552640 is an abundant number, since it is smaller than the sum of its proper divisors (3783711024).

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

1373552640 is an frugal number, since it uses more digits than its factorization.

1373552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 1373552640 is about 37061.4710987030. The cubic root of 1373552640 is about 1111.5997386281.

The spelling of 1373552640 in words is "one billion, three hundred seventy-three million, five hundred fifty-two thousand, six hundred forty".