Search a number
-
+
1199890440 = 2332572251271
BaseRepresentation
bin100011110000100…
…1110000000001000
310002121210202020200
41013201032000020
54424132443230
6315021452200
741506620600
oct10741160010
93077722220
101199890440
115663414a1
12295a11060
13161786658
14b5501c00
1570518160
hex4784e008

1199890440 has 288 divisors, whose sum is σ = 4571199360. Its totient is φ = 272160000.

The previous prime is 1199890429. The next prime is 1199890453. The reversal of 1199890440 is 440989911.

1199890440 is a `hidden beast` number, since 119 + 9 + 8 + 90 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4427505 + ... + 4427775.

It is an arithmetic number, because the mean of its divisors is an integer number (15872220).

Almost surely, 21199890440 is an apocalyptic number.

1199890440 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 1199890440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285599680).

1199890440 is an abundant number, since it is smaller than the sum of its proper divisors (3371308920).

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

1199890440 is a wasteful number, since it uses less digits than its factorization.

1199890440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1199890440 is about 34639.4347528940. The cubic root of 1199890440 is about 1062.6262279559.

The spelling of 1199890440 in words is "one billion, one hundred ninety-nine million, eight hundred ninety thousand, four hundred forty".