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1089740736 = 26337233917
BaseRepresentation
bin100000011110100…
…0001111111000000
32210221112120021000
41000331001333000
54212433200421
6300044532000
736001433460
oct10075017700
92727476230
101089740736
1150a148387
12264b51000
131449cb106
14a4a2bba0
1565a0b226
hex40f41fc0

1089740736 has 224 divisors, whose sum is σ = 3821460480. Its totient is φ = 297741312.

The previous prime is 1089740683. The next prime is 1089740747. The reversal of 1089740736 is 6370479801.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 1089740691 and 1089740700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276250 + ... + 280166.

Almost surely, 21089740736 is an apocalyptic number.

1089740736 is a gapful number since it is divisible by the number (16) 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 1089740736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910730240).

1089740736 is an abundant number, since it is smaller than the sum of its proper divisors (2731719744).

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

1089740736 is a wasteful number, since it uses less digits than its factorization.

1089740736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1089740736 is about 33011.2213648632. The cubic root of 1089740736 is about 1029.0608638956.

The spelling of 1089740736 in words is "one billion, eighty-nine million, seven hundred forty thousand, seven hundred thirty-six".