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1071125608 = 237197912743
BaseRepresentation
bin111111110110000…
…001010001101000
32202122111211002211
4333312001101220
54143202004413
6254141534504
735354263120
oct7766012150
92678454084
101071125608
114aa693583
1225a874434
13140bb1147
14a2383c80
156408083d
hex3fd81468

1071125608 has 64 divisors (see below), whose sum is σ = 2446848000. Its totient is φ = 429354432.

The previous prime is 1071125581. The next prime is 1071125611. The reversal of 1071125608 is 8065211701.

1071125608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10711256082 = 2294620136226739328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1071125608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77685 + ... + 90427.

It is an arithmetic number, because the mean of its divisors is an integer number (38232000).

Almost surely, 21071125608 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 1071125608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223424000).

1071125608 is an abundant number, since it is smaller than the sum of its proper divisors (1375722392).

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

1071125608 is a wasteful number, since it uses less digits than its factorization.

1071125608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12854 (or 12850 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The square root of 1071125608 is about 32728.0553653895. The cubic root of 1071125608 is about 1023.1676509475.

The spelling of 1071125608 in words is "one billion, seventy-one million, one hundred twenty-five thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 79 133 152 158 266 316 532 553 632 1064 1106 1501 2212 3002 4424 6004 10507 12008 12743 21014 25486 42028 50972 84056 89201 101944 178402 242117 356804 484234 713608 968468 1006697 1694819 1936936 2013394 3389638 4026788 6779276 7046879 8053576 13558552 14093758 19127243 28187516 38254486 56375032 76508972 133890701 153017944 267781402 535562804 1071125608