Search a number
-
+
1772380116 = 2234131922147
BaseRepresentation
bin110100110100100…
…0101111111010100
311120112001020110000
41221221011333110
512112212130431
6451512131300
761630660653
oct15151057724
94515036400
101772380116
1182a50a461
12415696b30
1322326c540
1412b56719a
15a58ee9e6
hex69a45fd4

1772380116 has 120 divisors (see below), whose sum is σ = 5252619680. Its totient is φ = 516621888.

The previous prime is 1772380061. The next prime is 1772380157. The reversal of 1772380116 is 6110832771.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68955 + ... + 91101.

Almost surely, 21772380116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1772380116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626309840).

1772380116 is an abundant number, since it is smaller than the sum of its proper divisors (3480239564).

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

1772380116 is a wasteful number, since it uses less digits than its factorization.

1772380116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22195 (or 22184 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1772380116 is about 42099.6450816393. The cubic root of 1772380116 is about 1210.1864603483.

The spelling of 1772380116 in words is "one billion, seven hundred seventy-two million, three hundred eighty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 228 234 247 324 342 351 468 494 513 684 702 741 988 1026 1053 1404 1482 1539 2052 2106 2223 2964 3078 4212 4446 6156 6669 8892 13338 20007 22147 26676 40014 44294 66441 80028 88588 132882 199323 265764 287911 398646 420793 575822 597969 797292 841586 863733 1151644 1195938 1262379 1683172 1727466 1793907 2391876 2524758 2591199 3454932 3587814 3787137 5049516 5182398 5470309 7175628 7574274 7773597 10364796 10940618 11361411 15148548 15547194 16410927 21881236 22722822 23320791 31094388 32821854 34084233 45445644 46641582 49232781 65643708 68168466 93283164 98465562 136336932 147698343 196931124 295396686 443095029 590793372 886190058 1772380116