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2077270920 = 2336571237
BaseRepresentation
bin111101111010000…
…1010001110001000
312100202202022000000
41323310022032020
513223240132140
6542043043000
7102322340304
oct17364121610
95322668000
102077270920
1197662442a
1249b810460
132714904ba
14159c50d04
15c2577a30
hex7bd0a388

2077270920 has 112 divisors (see below), whose sum is σ = 7007682060. Its totient is φ = 553931136.

The previous prime is 2077270907. The next prime is 2077270973. The reversal of 2077270920 is 290727702.

It can be written as a sum of positive squares in 2 ways, for example, as 1833723684 + 243547236 = 42822^2 + 15606^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6459 + ... + 64778.

Almost surely, 22077270920 is an apocalyptic number.

2077270920 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 2077270920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503841030).

2077270920 is an abundant number, since it is smaller than the sum of its proper divisors (4930411140).

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

2077270920 is an equidigital number, since it uses as much as digits as its factorization.

2077270920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71266 (or 71247 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 2077270920 is about 45577.0876647466. The cubic root of 2077270920 is about 1275.9423345042.

The spelling of 2077270920 in words is "two billion, seventy-seven million, two hundred seventy thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 5832 7290 9720 14580 29160 71237 142474 213711 284948 356185 427422 569896 641133 712370 854844 1068555 1282266 1424740 1709688 1923399 2137110 2564532 2849480 3205665 3846798 4274220 5129064 5770197 6411330 7693596 8548440 9616995 11540394 12822660 15387192 17310591 19233990 23080788 25645320 28850985 34621182 38467980 46161576 51931773 57701970 69242364 76935960 86552955 103863546 115403940 138484728 173105910 207727092 230807880 259658865 346211820 415454184 519317730 692423640 1038635460 2077270920