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1372480200 = 233452731319
BaseRepresentation
bin101000111001110…
…0110001011001000
310112122120012220000
41101303212023020
510302323331300
6344105003000
746003614000
oct12163461310
93478505800
101372480200
11644802763
12323783460
1318b464680
14d03cb000
158075ac00
hex51ce62c8

1372480200 has 960 divisors, whose sum is σ = 6301680000. Its totient is φ = 274337280.

The previous prime is 1372480169. The next prime is 1372480211. The reversal of 1372480200 is 20842731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 72235791 + ... + 72235809.

It is an arithmetic number, because the mean of its divisors is an integer number (6564250).

Almost surely, 21372480200 is an apocalyptic number.

1372480200 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 1372480200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150840000).

1372480200 is an abundant number, since it is smaller than the sum of its proper divisors (4929199800).

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

1372480200 is a wasteful number, since it uses less digits than its factorization.

1372480200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1372480200 is about 37046.9998785327. Note that the first 3 decimals coincide. The cubic root of 1372480200 is about 1111.3103590089.

The spelling of 1372480200 in words is "one billion, three hundred seventy-two million, four hundred eighty thousand, two hundred".