Search a number
-
+
1942468710 = 2357136771051
BaseRepresentation
bin111001111000111…
…1011100001100110
312000101002122010120
41303301323201212
512434232444320
6520425502410
766064466040
oct16361734146
95011078116
101942468710
11907522546
12462641a06
1324c582c90
14145da0a90
15b57eb440
hex73c7b866

1942468710 has 128 divisors (see below), whose sum is σ = 5751696384. Its totient is φ = 408844800.

The previous prime is 1942468673. The next prime is 1942468729. The reversal of 1942468710 is 178642491.

It is a super-3 number, since 3×19424687103 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1847685 + ... + 1848735.

It is an arithmetic number, because the mean of its divisors is an integer number (44935128).

Almost surely, 21942468710 is an apocalyptic number.

1942468710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1942468710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875848192).

1942468710 is an abundant number, since it is smaller than the sum of its proper divisors (3809227674).

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

1942468710 is a wasteful number, since it uses less digits than its factorization.

1942468710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758.

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1942468710 is about 44073.4467678669. The cubic root of 1942468710 is about 1247.7225110889.

The spelling of 1942468710 in words is "one billion, nine hundred forty-two million, four hundred sixty-eight thousand, seven hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 677 910 1051 1354 1365 2031 2102 2730 3153 3385 4062 4739 5255 6306 6770 7357 8801 9478 10155 10510 13663 14217 14714 15765 17602 20310 22071 23695 26403 27326 28434 31530 36785 40989 44005 44142 47390 52806 61607 68315 71085 73570 81978 88010 95641 110355 123214 132015 136630 142170 184821 191282 204945 220710 264030 286923 308035 369642 409890 478205 573846 616070 711527 924105 956410 1423054 1434615 1848210 2134581 2869230 3557635 4269162 4980689 7115270 9249851 9961378 10672905 14942067 18499702 21345810 24903445 27749553 29884134 46249255 49806890 55499106 64748957 74710335 92498510 129497914 138747765 149420670 194246871 277495530 323744785 388493742 647489570 971234355 1942468710