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1098026064 = 243310492423
BaseRepresentation
bin100000101110010…
…1000110001010000
32211112010111121000
41001130220301100
54222043313224
6300542302000
736132032112
oct10134506120
92745114530
101098026064
11513897263
12267887900
1314663c385
14a5b873b2
15665e60c9
hex41728c50

1098026064 has 80 divisors (see below), whose sum is σ = 3156048000. Its totient is φ = 365508864.

The previous prime is 1098026063. The next prime is 1098026117. The reversal of 1098026064 is 4606208901.

It is a super-2 number, since 2×10980260642 = 2411322474446664192, which contains 22 as substring.

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 (1098026063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451957 + ... + 454379.

It is an arithmetic number, because the mean of its divisors is an integer number (39450600).

Almost surely, 21098026064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1098026064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578024000).

1098026064 is an abundant number, since it is smaller than the sum of its proper divisors (2058021936).

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

1098026064 is a wasteful number, since it uses less digits than its factorization.

1098026064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1098026064 is about 33136.4763365087. The cubic root of 1098026064 is about 1031.6622745633.

The spelling of 1098026064 in words is "one billion, ninety-eight million, twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1049 2098 2423 3147 4196 4846 6294 7269 8392 9441 9692 12588 14538 16784 18882 19384 21807 25176 28323 29076 37764 38768 43614 50352 56646 58152 65421 75528 87228 113292 116304 130842 151056 174456 226584 261684 348912 453168 523368 1046736 2541727 5083454 7625181 10166908 15250362 20333816 22875543 30500724 40667632 45751086 61001448 68626629 91502172 122002896 137253258 183004344 274506516 366008688 549013032 1098026064