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871072080 = 243516012267
BaseRepresentation
bin110011111010111…
…000000101010000
32020201002001020220
4303322320011100
53240443301310
6222234033040
730404663514
oct6372700520
92221061226
10871072080
1140777438a
12203878780
1310b608688
148398a144
1551715670
hex33eb8150

871072080 has 80 divisors (see below), whose sum is σ = 2703201984. Its totient is φ = 232038400.

The previous prime is 871072073. The next prime is 871072099. The reversal of 871072080 is 80270178.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 383107 + ... + 385373.

Almost surely, 2871072080 is an apocalyptic number.

871072080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

871072080 is an abundant number, since it is smaller than the sum of its proper divisors (1832129904).

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

871072080 is a wasteful number, since it uses less digits than its factorization.

871072080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 871072080 is about 29513.9302702978. The cubic root of 871072080 is about 955.0322366977.

The spelling of 871072080 in words is "eight hundred seventy-one million, seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1601 2267 3202 4534 4803 6404 6801 8005 9068 9606 11335 12808 13602 16010 18136 19212 22670 24015 25616 27204 32020 34005 36272 38424 45340 48030 54408 64040 68010 76848 90680 96060 108816 128080 136020 181360 192120 272040 384240 544080 3629467 7258934 10888401 14517868 18147335 21776802 29035736 36294670 43553604 54442005 58071472 72589340 87107208 108884010 145178680 174214416 217768020 290357360 435536040 871072080