Search a number
-
+
2180269680 = 2435311312237
BaseRepresentation
bin1000000111110100…
…0100011001110000
312121221120011201220
42001331010121300
513431122112210
61000202425040
7105012662241
oct20175043160
95557504656
102180269680
11a19783976
1250a202180
13289913c04
141697c2cc8
15cb620c70
hex81f44670

2180269680 has 160 divisors (see below), whose sum is σ = 7033264128. Its totient is φ = 558105600.

The previous prime is 2180269673. The next prime is 2180269681. The reversal of 2180269680 is 869620812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180269681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973522 + ... + 975758.

Almost surely, 22180269680 is an apocalyptic number.

2180269680 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 2180269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516632064).

2180269680 is an abundant number, since it is smaller than the sum of its proper divisors (4852994448).

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

2180269680 is a wasteful number, since it uses less digits than its factorization.

2180269680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 2180269680 is about 46693.3579859063. The cubic root of 2180269680 is about 1296.6917222627.

The spelling of 2180269680 in words is "two billion, one hundred eighty million, two hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 131 155 186 240 248 262 310 372 393 465 496 524 620 655 744 786 930 1048 1240 1310 1488 1572 1860 1965 2096 2237 2480 2620 3144 3720 3930 4061 4474 5240 6288 6711 7440 7860 8122 8948 10480 11185 12183 13422 15720 16244 17896 20305 22370 24366 26844 31440 32488 33555 35792 40610 44740 48732 53688 60915 64976 67110 69347 81220 89480 97464 107376 121830 134220 138694 162440 178960 194928 208041 243660 268440 277388 293047 324880 346735 416082 487320 536880 554776 586094 693470 832164 879141 974640 1040205 1109552 1172188 1386940 1465235 1664328 1758282 2080410 2344376 2773880 2930470 3328656 3516564 4160820 4395705 4688752 5547760 5860940 7033128 8321640 8791410 9084457 11721880 14066256 16643280 17582820 18168914 23443760 27253371 35165640 36337828 45422285 54506742 70331280 72675656 90844570 109013484 136266855 145351312 181689140 218026968 272533710 363378280 436053936 545067420 726756560 1090134840 2180269680