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2157151760 = 245174336887
BaseRepresentation
bin1000000010010011…
…1000011000010000
312120100001122220122
42000210320120100
513404212324020
6554015125412
7104312326121
oct20044703020
95510048818
102157151760
11a07724055
12502513868
13284bab57a
141666c6048
15c95a6125
hex80938610

2157151760 has 80 divisors (see below), whose sum is σ = 5434045056. Its totient is φ = 793196544.

The previous prime is 2157151753. The next prime is 2157151783. The reversal of 2157151760 is 671517512.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2157151760.

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, 40037 + ... + 76923.

Almost surely, 22157151760 is an apocalyptic number.

2157151760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157151760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717022528).

2157151760 is an abundant number, since it is smaller than the sum of its proper divisors (3276893296).

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

2157151760 is a wasteful number, since it uses less digits than its factorization.

2157151760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36960 (or 36954 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 35.

The square root of 2157151760 is about 46445.1478628285. The cubic root of 2157151760 is about 1292.0923838128.

The spelling of 2157151760 in words is "two billion, one hundred fifty-seven million, one hundred fifty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 43 68 80 85 86 136 170 172 215 272 340 344 430 680 688 731 860 1360 1462 1720 2924 3440 3655 5848 7310 11696 14620 29240 36887 58480 73774 147548 184435 295096 368870 590192 627079 737740 1254158 1475480 1586141 2508316 2950960 3135395 3172282 5016632 6270790 6344564 7930705 10033264 12541580 12689128 15861410 25083160 25378256 26964397 31722820 50166320 53928794 63445640 107857588 126891280 134821985 215715176 269643970 431430352 539287940 1078575880 2157151760