Search a number
-
+
1016561104 = 2413171915131
BaseRepresentation
bin111100100101110…
…111110111010000
32121211211122200021
4330211313313100
54040214423404
6244512233224
734122424666
oct7445676720
92554748607
101016561104
11481905449
1224453b814
131327b8260
149901cc36
155e3a3454
hex3c977dd0

1016561104 has 80 divisors (see below), whose sum is σ = 2364223680. Its totient is φ = 418314240.

The previous prime is 1016561101. The next prime is 1016561111. The reversal of 1016561104 is 4011656101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016561101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59619 + ... + 74749.

It is an arithmetic number, because the mean of its divisors is an integer number (29552796).

Almost surely, 21016561104 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 1016561104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182111840).

1016561104 is an abundant number, since it is smaller than the sum of its proper divisors (1347662576).

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

1016561104 is a wasteful number, since it uses less digits than its factorization.

1016561104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15188 (or 15182 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 1016561104 is about 31883.5553851825. Note that the first 3 decimals coincide. The cubic root of 1016561104 is about 1005.4901708624.

The spelling of 1016561104 in words is "one billion, sixteen million, five hundred sixty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 19 26 34 38 52 68 76 104 136 152 208 221 247 272 304 323 442 494 646 884 988 1292 1768 1976 2584 3536 3952 4199 5168 8398 15131 16796 30262 33592 60524 67184 121048 196703 242096 257227 287489 393406 514454 574978 786812 1028908 1149956 1573624 2057816 2299912 3147248 3343951 3737357 4115632 4599824 4887313 6687902 7474714 9774626 13375804 14949428 19549252 26751608 29898856 39098504 53503216 59797712 63535069 78197008 127070138 254140276 508280552 1016561104