Search a number
-
+
1016105046 = 2311101313487
BaseRepresentation
bin111100100100001…
…000100001010110
32121210222111002020
4330210020201112
54040110330141
6244454354010
734115515245
oct7444104126
92553874066
101016105046
11481623840
1224435b906
131326887b8
1498d4095c
155e313266
hex3c908856

1016105046 has 64 divisors (see below), whose sum is σ = 2250671616. Its totient is φ = 303264000.

The previous prime is 1016104997. The next prime is 1016105059. The reversal of 1016105046 is 6405016101.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2086215 + ... + 2086701.

It is an arithmetic number, because the mean of its divisors is an integer number (35166744).

Almost surely, 21016105046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016105046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125335808).

1016105046 is an abundant number, since it is smaller than the sum of its proper divisors (1234566570).

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

1016105046 is a wasteful number, since it uses less digits than its factorization.

1016105046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1016105046 is about 31876.4026514913. The cubic root of 1016105046 is about 1005.3397846153.

The spelling of 1016105046 in words is "one billion, sixteen million, one hundred five thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 313 487 606 626 939 974 1111 1461 1878 2222 2922 3333 3443 5357 6666 6886 10329 10714 16071 20658 31613 32142 49187 63226 94839 98374 147561 152431 189678 295122 304862 347743 457293 541057 695486 914586 1043229 1082114 1623171 1676741 2086458 3246342 3353482 5030223 10060446 15395531 30791062 46186593 92373186 169350841 338701682 508052523 1016105046