Search a number
-
+
1249272990 = 233571921831
BaseRepresentation
bin100101001110110…
…0110010010011110
310020001201122101000
41022131212102132
510024303213430
6323544131130
742646434210
oct11235462236
93201648330
101249272990
11591200319
122aa466aa6
1316ba869b4
14bbcb85b0
1574a1ee60
hex4a76649e

1249272990 has 192 divisors, whose sum is σ = 4020433920. Its totient is φ = 270371520.

The previous prime is 1249272989. The next prime is 1249273007. The reversal of 1249272990 is 992729421.

1249272990 is a `hidden beast` number, since 1 + 2 + 492 + 72 + 9 + 90 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 681375 + ... + 683205.

It is an arithmetic number, because the mean of its divisors is an integer number (20939760).

Almost surely, 21249272990 is an apocalyptic number.

1249272990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249272990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010216960).

1249272990 is an abundant number, since it is smaller than the sum of its proper divisors (2771160930).

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

1249272990 is a wasteful number, since it uses less digits than its factorization.

1249272990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1249272990 is about 35345.0560899258. The cubic root of 1249272990 is about 1077.0084651068.

The spelling of 1249272990 in words is "one billion, two hundred forty-nine million, two hundred seventy-two thousand, nine hundred ninety".