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1027026104 = 2313431791283
BaseRepresentation
bin111101001101110…
…010110010111000
32122120112022221212
4331031302302320
54100404313404
6245524422252
734310402126
oct7515626270
92576468855
101027026104
11487802a05
12247b47988
13134a10670
149a584916
156026e06e
hex3d372cb8

1027026104 has 64 divisors (see below), whose sum is σ = 2135548800. Its totient is φ = 460043136.

The previous prime is 1027026101. The next prime is 1027026113. The reversal of 1027026104 is 4016207201.

It is a self number, because there is not a number n which added to its sum of digits gives 1027026104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027026101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799847 + ... + 801129.

It is an arithmetic number, because the mean of its divisors is an integer number (33367950).

Almost surely, 21027026104 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 1027026104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067774400).

1027026104 is an abundant number, since it is smaller than the sum of its proper divisors (1108522696).

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

1027026104 is a wasteful number, since it uses less digits than its factorization.

1027026104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1027026104 is about 32047.2479941726. The cubic root of 1027026104 is about 1008.9287416325.

The spelling of 1027026104 in words is "one billion, twenty-seven million, twenty-six thousand, one hundred four".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 179 344 358 559 716 1118 1283 1432 2236 2327 2566 4472 4654 5132 7697 9308 10264 15394 16679 18616 30788 33358 55169 61576 66716 100061 110338 133432 200122 220676 229657 400244 441352 459314 717197 800488 918628 1434394 1837256 2868788 2985541 5737576 5971082 9875251 11942164 19750502 23884328 39501004 79002008 128378263 256756526 513513052 1027026104