Search a number
-
+
71002080 = 2532549307
BaseRepresentation
bin1000011101101…
…10011111100000
311221121021112200
410032312133200
5121134031310
611013453200
71521336102
oct416663740
9157537480
1071002080
1137095a06
121b941200
131192c986
149603572
1563779c0
hex43b67e0

71002080 has 72 divisors (see below), whose sum is σ = 242299512. Its totient is φ = 18933504.

The previous prime is 71002079. The next prime is 71002093. The reversal of 71002080 is 8020017.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23214 + ... + 26093.

It is an arithmetic number, because the mean of its divisors is an integer number (3365271).

Almost surely, 271002080 is an apocalyptic number.

It is an amenable number.

71002080 is an abundant number, since it is smaller than the sum of its proper divisors (171297432).

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

71002080 is a wasteful number, since it uses less digits than its factorization.

71002080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49328 (or 49317 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 71002080 is about 8426.2731975649. The cubic root of 71002080 is about 414.0858185183.

Adding to 71002080 its reverse (8020017), we get a palindrome (79022097).

It can be divided in two parts, 7100 and 2080, that added together give a triangular number (9180 = T135).

The spelling of 71002080 in words is "seventy-one million, two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 49307 98614 147921 197228 246535 295842 394456 443763 493070 591684 739605 788912 887526 986140 1183368 1479210 1577824 1775052 1972280 2218815 2366736 2958420 3550104 3944560 4437630 4733472 5916840 7100208 7889120 8875260 11833680 14200416 17750520 23667360 35501040 71002080