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207060880 = 24513375381
BaseRepresentation
bin11000101011101…
…11111110010000
3112102121210010111
430111313332100
5411001422010
632314011104
75062663015
oct1425677620
9472553114
10207060880
11a69759a4
1259416a94
1333b8a140
141d6dd70c
15132a158a
hexc577f90

207060880 has 80 divisors (see below), whose sum is σ = 532559664. Its totient is φ = 74373120.

The previous prime is 207060871. The next prime is 207060883. The reversal of 207060880 is 88060702.

It can be written as a sum of positive squares in 8 ways, for example, as 3370896 + 203689984 = 1836^2 + 14272^2 .

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

It is not an unprimeable number, because it can be changed into a prime (207060883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35790 + ... + 41170.

Almost surely, 2207060880 is an apocalyptic number.

207060880 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 207060880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266279832).

207060880 is an abundant number, since it is smaller than the sum of its proper divisors (325498784).

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

207060880 is a wasteful number, since it uses less digits than its factorization.

207060880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 207060880 is about 14389.6101406536. The cubic root of 207060880 is about 591.6061569629.

The spelling of 207060880 in words is "two hundred seven million, sixty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1040 1480 1924 2405 2960 3848 4810 5381 7696 9620 10762 19240 21524 26905 38480 43048 53810 69953 86096 107620 139906 199097 215240 279812 349765 398194 430480 559624 699530 796388 995485 1119248 1399060 1592776 1990970 2588261 2798120 3185552 3981940 5176522 5596240 7963880 10353044 12941305 15927760 20706088 25882610 41412176 51765220 103530440 207060880