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1098363840 = 26357732239
BaseRepresentation
bin100000101110111…
…1011001111000000
32211112202122221020
41001131323033000
54222140120330
6300553425440
736134636640
oct10135731700
92745678836
101098363840
11513aa8012
12267a0b280
1314672a042
14a5c34520
1566661210
hex4177b3c0

1098363840 has 224 divisors, whose sum is σ = 4041891840. Its totient is φ = 247504896.

The previous prime is 1098363809. The next prime is 1098363841. The reversal of 1098363840 is 483638901.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1098363792 and 1098363801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098363841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489441 + ... + 491679.

It is an arithmetic number, because the mean of its divisors is an integer number (18044160).

Almost surely, 21098363840 is an apocalyptic number.

1098363840 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 1098363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020945920).

1098363840 is an abundant number, since it is smaller than the sum of its proper divisors (2943528000).

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

1098363840 is a wasteful number, since it uses less digits than its factorization.

1098363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1098363840 is about 33141.5726844699. The cubic root of 1098363840 is about 1031.7680507501.

The spelling of 1098363840 in words is "one billion, ninety-eight million, three hundred sixty-three thousand, eight hundred forty".