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1070842128 = 243194212789
BaseRepresentation
bin111111110100111…
…100000100010000
32202121222102020120
4333310330010100
54143113422003
6254131510240
735352002466
oct7764740420
92677872216
101070842128
114aa50a5a4
1225a758380
13140b120c5
14a230c836
1564026853
hex3fd3c110

1070842128 has 80 divisors (see below), whose sum is σ = 2919902400. Its totient is φ = 337236480.

The previous prime is 1070842117. The next prime is 1070842133. The reversal of 1070842128 is 8212480701.

It is a happy number.

1070842128 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 2×10708421282 = 2293405726199136768, which contains 22 as substring.

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, 382558 + ... + 385346.

It is an arithmetic number, because the mean of its divisors is an integer number (36498780).

Almost surely, 21070842128 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 1070842128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459951200).

1070842128 is an abundant number, since it is smaller than the sum of its proper divisors (1849060272).

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

1070842128 is a wasteful number, since it uses less digits than its factorization.

1070842128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 1070842128 is about 32723.7242379287. The cubic root of 1070842128 is about 1023.0773804399.

The spelling of 1070842128 in words is "one billion, seventy million, eight hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 421 456 842 912 1263 1684 2526 2789 3368 5052 5578 6736 7999 8367 10104 11156 15998 16734 20208 22312 23997 31996 33468 44624 47994 52991 63992 66936 95988 105982 127984 133872 158973 191976 211964 317946 383952 423928 635892 847856 1174169 1271784 2348338 2543568 3522507 4696676 7045014 9393352 14090028 18786704 22309211 28180056 44618422 56360112 66927633 89236844 133855266 178473688 267710532 356947376 535421064 1070842128