Search a number
-
+
1373137920 = 21034571143
BaseRepresentation
bin101000111011000…
…0110110000000000
310112200210122010000
41101312012300000
510303010403140
6344131040000
746012323360
oct12166066000
93480718100
101373137920
11645111930
12323a40000
1318b634b5b
14d051c9a0
158083aa30
hex51d86c00

1373137920 has 880 divisors, whose sum is σ = 6277379328. Its totient is φ = 278691840.

The previous prime is 1373137897. The next prime is 1373138027. The reversal of 1373137920 is 297313731.

It is a tau number, because it is divible by the number of its divisors (880).

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

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 79 ways as a sum of consecutive naturals, for example, 31933419 + ... + 31933461.

Almost surely, 21373137920 is an apocalyptic number.

1373137920 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 1373137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138689664).

1373137920 is an abundant number, since it is smaller than the sum of its proper divisors (4904241408).

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

1373137920 is a wasteful number, since it uses less digits than its factorization.

1373137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 1373137920 is about 37055.8756474597. The cubic root of 1373137920 is about 1111.4878513864.

The spelling of 1373137920 in words is "one billion, three hundred seventy-three million, one hundred thirty-seven thousand, nine hundred twenty".