Search a number
-
+
1380225800 = 2352372712
BaseRepresentation
bin101001001000100…
…1001001100001000
310120012010201212002
41102101021030020
510311314211200
6344543010132
746126503632
oct12221111410
93505121762
101380225800
11649113088
12326299948
1318cc47075
14d1445a52
158128abd5
hex52449308

1380225800 has 108 divisors (see below), whose sum is σ = 3345205815. Its totient is φ = 529603200.

The previous prime is 1380225793. The next prime is 1380225839. The reversal of 1380225800 is 85220831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1094683396 + 285542404 = 33086^2 + 16898^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=26270.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19439765 + ... + 19439835.

Almost surely, 21380225800 is an apocalyptic number.

1380225800 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 1380225800

1380225800 is an abundant number, since it is smaller than the sum of its proper divisors (1964980015).

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

1380225800 is an equidigital number, since it uses as much as digits as its factorization.

1380225800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 1380225800 is about 37151.3902835412. The cubic root of 1380225800 is about 1113.3970007534.

The spelling of 1380225800 in words is "one billion, three hundred eighty million, two hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 71 74 100 142 148 185 200 284 296 355 370 568 710 740 925 1369 1420 1480 1775 1850 2627 2738 2840 3550 3700 5041 5254 5476 6845 7100 7400 10082 10508 10952 13135 13690 14200 20164 21016 25205 26270 27380 34225 40328 50410 52540 54760 65675 68450 97199 100820 105080 126025 131350 136900 186517 194398 201640 252050 262700 273800 373034 388796 485995 504100 525400 746068 777592 932585 971990 1008200 1492136 1865170 1943980 2429975 3730340 3887960 4662925 4859950 6901129 7460680 9325850 9719900 13802258 18651700 19439800 27604516 34505645 37303400 55209032 69011290 138022580 172528225 276045160 345056450 690112900 1380225800