Search a number
-
+
1060790016 = 28311132743
BaseRepresentation
bin111111001110100…
…101111100000000
32201221001201100010
4333032211330000
54133030240031
6253132224520
735200365156
oct7716457400
92657051303
101060790016
114a4874270
1225730b140
1313ba02900
14a0c533d6
15631dd246
hex3f3a5f00

1060790016 has 216 divisors, whose sum is σ = 3339536256. Its totient is φ = 296325120.

The previous prime is 1060789999. The next prime is 1060790039. The reversal of 1060790016 is 6100970601.

It is a super-2 number, since 2×10607900162 = 2250550916090560512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427341 + ... + 1428083.

It is an arithmetic number, because the mean of its divisors is an integer number (15460816).

Almost surely, 21060790016 is an apocalyptic number.

1060790016 is a gapful number since it is divisible by the number (16) 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 1060790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669768128).

1060790016 is an abundant number, since it is smaller than the sum of its proper divisors (2278746240).

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

1060790016 is a wasteful number, since it uses less digits than its factorization.

1060790016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1060790016 is about 32569.7715067208. The cubic root of 1060790016 is about 1019.8660646899.

The spelling of 1060790016 in words is "one billion, sixty million, seven hundred ninety thousand, sixteen".