Search a number
-
+
1090541232 = 24351143593
BaseRepresentation
bin100000100000000…
…0101011010110000
32211000001020100000
41001000011122300
54213134304412
6300114030000
736011306334
oct10100053260
92730036300
101090541232
1150a644850
12265278300
13144c1b591
14a4b997c4
1565b184dc
hex410056b0

1090541232 has 240 divisors, whose sum is σ = 3539023488. Its totient is φ = 322237440.

The previous prime is 1090541227. The next prime is 1090541261. The reversal of 1090541232 is 2321450901.

1090541232 is a `hidden beast` number, since 1 + 0 + 90 + 541 + 2 + 32 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1090541196 and 1090541205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1838728 + ... + 1839320.

Almost surely, 21090541232 is an apocalyptic number.

1090541232 is a gapful number since it is divisible by the number (12) 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 1090541232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769511744).

1090541232 is an abundant number, since it is smaller than the sum of its proper divisors (2448482256).

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

1090541232 is a wasteful number, since it uses less digits than its factorization.

1090541232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1090541232 is about 33023.3437434794. The cubic root of 1090541232 is about 1029.3127762561.

The spelling of 1090541232 in words is "one billion, ninety million, five hundred forty-one thousand, two hundred thirty-two".