Search a number
-
+
1713243072 = 26319617699
BaseRepresentation
bin110011000011110…
…0000001111000000
311102101202202200010
41212013200033000
512002042234242
6442000424520
760312216522
oct14607401700
94371682603
101713243072
117aa098972
123b9918140
13213c352c8
14123771a12
15a061c89c
hex661e03c0

1713243072 has 112 divisors (see below), whose sum is σ = 4850384000. Its totient is φ = 532085760.

The previous prime is 1713243031. The next prime is 1713243083. The reversal of 1713243072 is 2703423171.

It is a zygodrome in base 2.

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, 218679 + ... + 226377.

It is an arithmetic number, because the mean of its divisors is an integer number (43307000).

Almost surely, 21713243072 is an apocalyptic number.

1713243072 is a gapful number since it is divisible by the number (12) 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 1713243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425192000).

1713243072 is an abundant number, since it is smaller than the sum of its proper divisors (3137140928).

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

1713243072 is a wasteful number, since it uses less digits than its factorization.

1713243072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 7784 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 1713243072 is about 41391.3405436451. The cubic root of 1713243072 is about 1196.5742740856.

The spelling of 1713243072 in words is "one billion, seven hundred thirteen million, two hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 152 183 192 228 244 304 366 456 488 608 732 912 976 1159 1216 1464 1824 1952 2318 2928 3477 3648 3904 4636 5856 6954 7699 9272 11712 13908 15398 18544 23097 27816 30796 37088 46194 55632 61592 74176 92388 111264 123184 146281 184776 222528 246368 292562 369552 438843 469639 492736 585124 739104 877686 939278 1170248 1408917 1478208 1755372 1878556 2340496 2817834 3510744 3757112 4680992 5635668 7021488 7514224 8923141 9361984 11271336 14042976 15028448 17846282 22542672 26769423 28085952 30056896 35692564 45085344 53538846 71385128 90170688 107077692 142770256 214155384 285540512 428310768 571081024 856621536 1713243072