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1090690920 = 23355111012
BaseRepresentation
bin100000100000010…
…1001111101101000
32211000022211200000
41001000221331220
54213204102140
6300121143000
736012501624
oct10100517550
92730284600
101090690920
1150a737260
1226532aa60
13144c71757
14a4bd8184
1565b47a30
hex41029f68

1090690920 has 288 divisors, whose sum is σ = 4050315360. Its totient is φ = 261792000.

The previous prime is 1090690903. The next prime is 1090690927. The reversal of 1090690920 is 290960901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090690927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10798870 + ... + 10798970.

It is an arithmetic number, because the mean of its divisors is an integer number (14063595).

Almost surely, 21090690920 is an apocalyptic number.

1090690920 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 1090690920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025157680).

1090690920 is an abundant number, since it is smaller than the sum of its proper divisors (2959624440).

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

1090690920 is a wasteful number, since it uses less digits than its factorization.

1090690920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1090690920 is about 33025.6100624954. The cubic root of 1090690920 is about 1029.3598686898.

The spelling of 1090690920 in words is "one billion, ninety million, six hundred ninety thousand, nine hundred twenty".