Search a number
-
+
1220316780 = 2235174327823
BaseRepresentation
bin100100010111100…
…1000111001101100
310011001020111220210
41020233020321230
54444400114110
6321031342420
742145343604
oct11057107154
93131214823
101220316780
11576923071
122a0821a10
13165a88b47
14b80dbc04
1572200520
hex48bc8e6c

1220316780 has 96 divisors (see below), whose sum is σ = 3702150144. Its totient is φ = 299142144.

The previous prime is 1220316739. The next prime is 1220316787. The reversal of 1220316780 is 876130221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1220316787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29949 + ... + 57771.

It is an arithmetic number, because the mean of its divisors is an integer number (38564064).

Almost surely, 21220316780 is an apocalyptic number.

1220316780 is a gapful number since it is divisible by the number (10) 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 1220316780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851075072).

1220316780 is an abundant number, since it is smaller than the sum of its proper divisors (2481833364).

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

1220316780 is a wasteful number, since it uses less digits than its factorization.

1220316780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27895 (or 27893 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1220316780 is about 34933.0327913280. The cubic root of 1220316780 is about 1068.6222054372.

The spelling of 1220316780 in words is "one billion, two hundred twenty million, three hundred sixteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 43 51 60 68 85 86 102 129 170 172 204 215 255 258 340 430 510 516 645 731 860 1020 1290 1462 2193 2580 2924 3655 4386 7310 8772 10965 14620 21930 27823 43860 55646 83469 111292 139115 166938 278230 333876 417345 472991 556460 834690 945982 1196389 1418973 1669380 1891964 2364955 2392778 2837946 3589167 4729910 4785556 5675892 5981945 7094865 7178334 9459820 11963890 14189730 14356668 17945835 20338613 23927780 28379460 35891670 40677226 61015839 71783340 81354452 101693065 122031678 203386130 244063356 305079195 406772260 610158390 1220316780