Search a number
-
+
1946247940 = 2257132431913
BaseRepresentation
bin111010000000001…
…0110001100000100
312000122012122021001
41310000112030010
512441214413230
6521042503044
766141556150
oct16400261404
95018178231
101946247940
1190967397a
12463964a84
132502a7200
141466a6060
15b5ce60ca
hex74016304

1946247940 has 144 divisors (see below), whose sum is σ = 5178273408. Its totient is φ = 601316352.

The previous prime is 1946247923. The next prime is 1946247943. The reversal of 1946247940 is 497426491.

It is not an unprimeable number, because it can be changed into a prime (1946247943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1016424 + ... + 1018336.

It is an arithmetic number, because the mean of its divisors is an integer number (35960232).

Almost surely, 21946247940 is an apocalyptic number.

1946247940 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 1946247940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589136704).

1946247940 is an abundant number, since it is smaller than the sum of its proper divisors (3232025468).

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

1946247940 is a wasteful number, since it uses less digits than its factorization.

1946247940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 1946247940 is about 44116.3001621850. The cubic root of 1946247940 is about 1248.5311685701.

The spelling of 1946247940 in words is "one billion, nine hundred forty-six million, two hundred forty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 43 52 65 70 86 91 130 140 169 172 182 215 260 301 338 364 430 455 559 602 676 845 860 910 1118 1183 1204 1505 1690 1820 1913 2236 2366 2795 3010 3380 3826 3913 4732 5590 5915 6020 7267 7652 7826 9565 11180 11830 13391 14534 15652 19130 19565 23660 24869 26782 29068 36335 38260 39130 49738 50869 53564 66955 72670 78260 82259 99476 101738 124345 133910 145340 164518 174083 203476 248690 254345 267820 323297 329036 348166 411295 497380 508690 575813 646594 696332 822590 870415 1017380 1069367 1151626 1293188 1616485 1645180 1740830 2138734 2263079 2303252 2879065 3232970 3481660 4277468 4526158 5346835 5758130 6465940 7485569 9052316 10693670 11315395 11516260 13901771 14971138 21387340 22630790 27803542 29942276 37427845 45261580 55607084 69508855 74855690 97312397 139017710 149711380 194624794 278035420 389249588 486561985 973123970 1946247940