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2077109020 = 225722279337
BaseRepresentation
bin111101111001110…
…0010101100011100
312100202110001220201
41323303202230130
513223214442040
6542035353244
7102321064300
oct17363425434
95322401821
102077109020
11976523828
1249b752824
132714348bc
14159c0bd00
15c2544a9a
hex7bce2b1c

2077109020 has 72 divisors (see below), whose sum is σ = 5096979216. Its totient is φ = 708938496.

The previous prime is 2077109017. The next prime is 2077109053. The reversal of 2077109020 is 209017702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2077109020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217792 + ... + 227128.

It is an arithmetic number, because the mean of its divisors is an integer number (70791378).

Almost surely, 22077109020 is an apocalyptic number.

2077109020 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 2077109020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548489608).

2077109020 is an abundant number, since it is smaller than the sum of its proper divisors (3019870196).

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

2077109020 is a wasteful number, since it uses less digits than its factorization.

2077109020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9587 (or 9578 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 2077109020 is about 45575.3115184087. The cubic root of 2077109020 is about 1275.9091851720.

The spelling of 2077109020 in words is "two billion, seventy-seven million, one hundred nine thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 227 245 454 490 908 980 1135 1589 2270 3178 4540 6356 7945 9337 11123 15890 18674 22246 31780 37348 44492 46685 55615 65359 93370 111230 130718 186740 222460 261436 326795 457513 653590 915026 1307180 1830052 2119499 2287565 4238998 4575130 8477996 9150260 10597495 14836493 21194990 29672986 42389980 59345972 74182465 103855451 148364930 207710902 296729860 415421804 519277255 1038554510 2077109020