Search a number
-
+
1023103416 = 233318915451
BaseRepresentation
bin111100111110110…
…101000110111000
32122022011001001010
4330332311012320
54043403302131
6245304353520
734232143536
oct7476650670
92568131033
101023103416
11485573815
122467758a0
13133c6904a
1499c43156
155ec46b46
hex3cfb51b8

1023103416 has 64 divisors (see below), whose sum is σ = 2670105600. Its totient is φ = 326304000.

The previous prime is 1023103363. The next prime is 1023103421. The reversal of 1023103416 is 6143013201.

It is a junction number, because it is equal to n+sod(n) for n = 1023103392 and 1023103401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58491 + ... + 73941.

It is an arithmetic number, because the mean of its divisors is an integer number (41720400).

Almost surely, 21023103416 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 1023103416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335052800).

1023103416 is an abundant number, since it is smaller than the sum of its proper divisors (1647002184).

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

1023103416 is a wasteful number, since it uses less digits than its factorization.

1023103416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15580 (or 15576 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1023103416 is about 31985.9878071633. The cubic root of 1023103416 is about 1007.6425808264.

Adding to 1023103416 its reverse (6143013201), we get a palindrome (7166116617).

The spelling of 1023103416 in words is "one billion, twenty-three million, one hundred three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 62 89 93 124 178 186 248 267 356 372 534 712 744 1068 2136 2759 5518 8277 11036 15451 16554 22072 30902 33108 46353 61804 66216 92706 123608 185412 370824 478981 957962 1375139 1436943 1915924 2750278 2873886 3831848 4125417 5500556 5747772 8250834 11001112 11495544 16501668 33003336 42629309 85258618 127887927 170517236 255775854 341034472 511551708 1023103416