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1073870448 = 243731310211
BaseRepresentation
bin100000000000001…
…1111011001110000
32202211200021022120
41000000133121300
54144402323243
6254320434240
735416514430
oct10000373160
92684607276
101073870448
11501198842
1225b778980
13141632601
14a289a2c0
1564423c83
hex4001f670

1073870448 has 80 divisors (see below), whose sum is σ = 3180915456. Its totient is φ = 305809920.

The previous prime is 1073870419. The next prime is 1073870449. The reversal of 1073870448 is 8440783701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073870449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100063 + ... + 110273.

Almost surely, 21073870448 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 1073870448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590457728).

1073870448 is an abundant number, since it is smaller than the sum of its proper divisors (2107045008).

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

1073870448 is a wasteful number, since it uses less digits than its factorization.

1073870448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10542 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 1073870448 is about 32769.9625877113. The cubic root of 1073870448 is about 1024.0408868359.

The spelling of 1073870448 in words is "one billion, seventy-three million, eight hundred seventy thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 313 336 626 939 1252 1878 2191 2504 3756 4382 5008 6573 7512 8764 10211 13146 15024 17528 20422 26292 30633 35056 40844 52584 61266 71477 81688 105168 122532 142954 163376 214431 245064 285908 428862 490128 571816 857724 1143632 1715448 3196043 3430896 6392086 9588129 12784172 19176258 22372301 25568344 38352516 44744602 51136688 67116903 76705032 89489204 134233806 153410064 178978408 268467612 357956816 536935224 1073870448