Search a number
-
+
1914334860 = 2235371078059
BaseRepresentation
bin111001000011010…
…0110111010001100
311221102011021202010
41302012212322030
512410032203420
6513542501220
765303402124
oct16206467214
94842137663
101914334860
118a2657129
12455134810
132467b2529
14142359c84
15b30e04e0
hex721a6e8c

1914334860 has 96 divisors (see below), whose sum is σ = 5557144320. Its totient is φ = 491989248.

The previous prime is 1914334843. The next prime is 1914334871. The reversal of 1914334860 is 684334191.

It is a super-2 number, since 2×19143348602 = 7329355912422439200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233511 + ... + 241569.

It is an arithmetic number, because the mean of its divisors is an integer number (57886920).

Almost surely, 21914334860 is an apocalyptic number.

1914334860 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 1914334860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778572160).

1914334860 is an abundant number, since it is smaller than the sum of its proper divisors (3642809460).

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

1914334860 is a wasteful number, since it uses less digits than its factorization.

1914334860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1914334860 is about 43753.1125749929. The cubic root of 1914334860 is about 1241.6693740063.

The spelling of 1914334860 in words is "one billion, nine hundred fourteen million, three hundred thirty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 107 111 148 185 214 222 321 370 428 444 535 555 642 740 1070 1110 1284 1605 2140 2220 3210 3959 6420 7918 8059 11877 15836 16118 19795 23754 24177 32236 39590 40295 47508 48354 59385 79180 80590 96708 118770 120885 161180 237540 241770 298183 483540 596366 862313 894549 1192732 1490915 1724626 1789098 2586939 2981830 3449252 3578196 4311565 4472745 5173878 5963660 8623130 8945490 10347756 12934695 17246260 17890980 25869390 31905581 51738780 63811162 95716743 127622324 159527905 191433486 319055810 382866972 478583715 638111620 957167430 1914334860