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1023943680 = 210355823
BaseRepresentation
bin111101000010000…
…010010000000000
32122100201201200000
4331002002100000
54044112144210
6245334400000
734242243354
oct7502022000
92570651600
101023943680
11485a98051
12246b00000
131341a1646
1499dc1464
155ed60ac0
hex3d082400

1023943680 has 264 divisors, whose sum is σ = 3683813952. Its totient is φ = 272719872.

The previous prime is 1023943673. The next prime is 1023943681. The reversal of 1023943680 is 863493201.

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

It is not an unprimeable number, because it can be changed into a prime (1023943681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243749 + ... + 1244571.

Almost surely, 21023943680 is an apocalyptic number.

1023943680 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 1023943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841906976).

1023943680 is an abundant number, since it is smaller than the sum of its proper divisors (2659870272).

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

1023943680 is an frugal number, since it uses more digits than its factorization.

1023943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1023943680 is about 31999.1199878997. The cubic root of 1023943680 is about 1007.9183607350.

The spelling of 1023943680 in words is "one billion, twenty-three million, nine hundred forty-three thousand, six hundred eighty".