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870101056 = 26113139869
BaseRepresentation
bin110011110111001…
…011000001000000
32020122020201021001
4303313023001000
53240221213211
6222201141344
730363510526
oct6367130100
92218221231
10870101056
11407170890
1220348a854
1310b3586c6
14837b6316
15515c2ac1
hex33dcb040

870101056 has 56 divisors (see below), whose sum is σ = 1944380160. Its totient is φ = 382732800.

The previous prime is 870101051. The next prime is 870101059. The reversal of 870101056 is 650101078.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (870101051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1890 + ... + 41758.

Almost surely, 2870101056 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 870101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972190080).

870101056 is an abundant number, since it is smaller than the sum of its proper divisors (1074279104).

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

870101056 is a wasteful number, since it uses less digits than its factorization.

870101056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39923 (or 39913 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 870101056 is about 29497.4754173980. The cubic root of 870101056 is about 954.6772320058.

It can be divided in two parts, 870 and 101056, that added together give a triangular number (101926 = T451).

The spelling of 870101056 in words is "eight hundred seventy million, one hundred one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1984 2728 5456 10912 21824 39869 79738 159476 318952 438559 637904 877118 1235939 1275808 1754236 2471878 2551616 3508472 4943756 7016944 9887512 13595329 14033888 19775024 27190658 28067776 39550048 54381316 79100096 108762632 217525264 435050528 870101056