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1074164756 = 2272931139307
BaseRepresentation
bin100000000000110…
…0111010000010100
32202212020020000212
41000001213100110
54144441233011
6254331024552
735422151450
oct10001472024
92685206025
101074164756
11501379975
1225b89b158
13141706562
14a2935660
156448108b
hex40067414

1074164756 has 96 divisors (see below), whose sum is σ = 2318131200. Its totient is φ = 425658240.

The previous prime is 1074164747. The next prime is 1074164783. The reversal of 1074164756 is 6574614701.

1074164756 = T63 + T64 + ... + T1860.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3498755 + ... + 3499061.

It is an arithmetic number, because the mean of its divisors is an integer number (24147200).

Almost surely, 21074164756 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 1074164756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159065600).

1074164756 is an abundant number, since it is smaller than the sum of its proper divisors (1243966444).

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

1074164756 is a wasteful number, since it uses less digits than its factorization.

1074164756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 1074164756 is about 32774.4527948218. The cubic root of 1074164756 is about 1024.1344288137.

The spelling of 1074164756 in words is "one billion, seventy-four million, one hundred sixty-four thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 139 203 217 278 307 406 434 556 614 812 868 899 973 1228 1798 1946 2149 3596 3892 4031 4298 4309 6293 8062 8596 8618 8903 9517 12586 16124 17236 17806 19034 25172 28217 30163 35612 38068 42673 56434 60326 62321 66619 85346 112868 120652 124642 124961 133238 170692 249284 249922 266476 275993 298711 499844 551986 597422 874727 1103972 1194844 1237517 1322863 1749454 1931951 2475034 2645726 3498908 3863902 4950068 5291452 7727804 8662619 9260041 17325238 18520082 34650476 37040164 38363027 76726054 153452108 268541189 537082378 1074164756