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1076674000720 = 24529839553139
BaseRepresentation
bin11111010101011101100…
…01010111011101010000
310210221002021002020012111
433222232301113131100
5120120012021010340
62142341152235104
7140533662001513
oct17525661273520
93727067066174
101076674000720
1138568444a53a
121547bbb3ba94
137a6b7317336
143a17b598d7a
151d017c48aea
hexfaaec57750

1076674000720 has 80 divisors (see below), whose sum is σ = 2592677808000. Its totient is φ = 415322561024.

The previous prime is 1076674000697. The next prime is 1076674000741. The reversal of 1076674000720 is 270004766701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1669911 + ... + 2223049.

It is an arithmetic number, because the mean of its divisors is an integer number (32408472600).

Almost surely, 21076674000720 is an apocalyptic number.

1076674000720 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 1076674000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296338904000).

1076674000720 is an abundant number, since it is smaller than the sum of its proper divisors (1516003807280).

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

1076674000720 is a wasteful number, since it uses less digits than its factorization.

1076674000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554020 (or 554014 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 1076674000720 in words is "one trillion, seventy-six billion, six hundred seventy-four million, seven hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 839 1160 1678 2320 3356 4195 6712 8390 13424 16780 24331 33560 48662 67120 97324 121655 194648 243310 389296 486620 553139 973240 1106278 1946480 2212556 2765695 4425112 5531390 8850224 11062780 16041031 22125560 32082062 44251120 64164124 80205155 128328248 160410310 256656496 320820620 464083621 641641240 928167242 1283282480 1856334484 2320418105 3712668968 4640836210 7425337936 9281672420 13458425009 18563344840 26916850018 37126689680 53833700036 67292125045 107667400072 134584250090 215334800144 269168500180 538337000360 1076674000720