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1380903300 = 22325272173181
BaseRepresentation
bin101001001001110…
…1110100110000100
310120020102011012200
41102103232212010
510312002401200
6345005314500
746135325100
oct12223564604
93506364180
101380903300
116495360a7
12326565a30
1319012355a
14d1580900
1581371800
hex524ee984

1380903300 has 324 divisors, whose sum is σ = 5092119396. Its totient is φ = 312076800.

The previous prime is 1380903289. The next prime is 1380903301. The reversal of 1380903300 is 33090831.

It can be written as a sum of positive squares in 6 ways, for example, as 79281216 + 1301622084 = 8904^2 + 36078^2 .

It is not an unprimeable number, because it can be changed into a prime (1380903301) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7629210 + ... + 7629390.

Almost surely, 21380903300 is an apocalyptic number.

1380903300 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 1380903300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546059698).

1380903300 is an abundant number, since it is smaller than the sum of its proper divisors (3711216096).

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

1380903300 is a wasteful number, since it uses less digits than its factorization.

1380903300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1380903300 is about 37160.5072624150. The cubic root of 1380903300 is about 1113.5791456069.

The spelling of 1380903300 in words is "one billion, three hundred eighty million, nine hundred three thousand, three hundred".