Search a number
-
+
1930957080 = 2335131965147
BaseRepresentation
bin111001100011000…
…0001000100011000
311222120102210010220
41303012001010120
512423311111310
6515335040040
765564602323
oct16306010430
94876383126
101930957080
11900a7a6a8
1245a810020
1324a082370
141446457ba
15b47c5670
hex73181118

1930957080 has 128 divisors (see below), whose sum is σ = 6566918400. Its totient is φ = 450289152.

The previous prime is 1930957079. The next prime is 1930957103. The reversal of 1930957080 is 807590391.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2934 + ... + 62213.

It is an arithmetic number, because the mean of its divisors is an integer number (51304050).

Almost surely, 21930957080 is an apocalyptic number.

1930957080 is a gapful number since it is divisible by the number (10) 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 1930957080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283459200).

1930957080 is an abundant number, since it is smaller than the sum of its proper divisors (4635961320).

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

1930957080 is a wasteful number, since it uses less digits than its factorization.

1930957080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65193 (or 65189 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 1930957080 is about 43942.6567244176. The cubic root of 1930957080 is about 1245.2528381190.

The spelling of 1930957080 in words is "one billion, nine hundred thirty million, nine hundred fifty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4940 5928 7410 9880 14820 29640 65147 130294 195441 260588 325735 390882 521176 651470 781764 846911 977205 1237793 1302940 1563528 1693822 1954410 2475586 2540733 2605880 3387644 3713379 3908820 4234555 4951172 5081466 6188965 6775288 7426758 7817640 8469110 9902344 10162932 12377930 12703665 14853516 16091309 16938220 18566895 20325864 24755860 25407330 29707032 32182618 33876440 37133790 48273927 49511720 50814660 64365236 74267580 80456545 96547854 101629320 128730472 148535160 160913090 193095708 241369635 321826180 386191416 482739270 643652360 965478540 1930957080