Search a number
-
+
10620682500 = 2235411871193
BaseRepresentation
bin10011110010000101…
…01100000100000100
31000102011200120110010
421321002230010010
5133222343320000
64513514030220
7524122211631
oct117102540404
930364616403
1010620682500
114560109a5a
122084a18370
13100347801c
1472a771188
15422613d50
hex2790ac104

10620682500 has 120 divisors (see below), whose sum is σ = 31019145696. Its totient is φ = 2827424000.

The previous prime is 10620682487. The next prime is 10620682547. The reversal of 10620682500 is 528602601.

It is a super-2 number, since 2×106206825002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8901904 + ... + 8903096.

Almost surely, 210620682500 is an apocalyptic number.

10620682500 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 10620682500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15509572848).

10620682500 is an abundant number, since it is smaller than the sum of its proper divisors (20398463196).

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

10620682500 is a wasteful number, since it uses less digits than its factorization.

10620682500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10620682500 in words is "ten billion, six hundred twenty million, six hundred eighty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1187 1193 1250 1500 1875 2374 2386 2500 3561 3579 3750 4748 4772 5935 5965 7122 7158 7500 11870 11930 14244 14316 17805 17895 23740 23860 29675 29825 35610 35790 59350 59650 71220 71580 89025 89475 118700 119300 148375 149125 178050 178950 296750 298250 356100 357900 445125 447375 593500 596500 741875 745625 890250 894750 1416091 1483750 1491250 1780500 1789500 2225625 2236875 2832182 2967500 2982500 4248273 4451250 4473750 5664364 7080455 8496546 8902500 8947500 14160910 16993092 21241365 28321820 35402275 42482730 70804550 84965460 106206825 141609100 177011375 212413650 354022750 424827300 531034125 708045500 885056875 1062068250 1770113750 2124136500 2655170625 3540227500 5310341250 10620682500