Search a number
-
+
1981965720 = 233572337069
BaseRepresentation
bin111011000100010…
…0110010110011000
312010010102021211210
41312020212112120
513024340400340
6524400223120
7100054300500
oct16610462630
95103367753
101981965720
1192784a1a9
1247390aaa0
132578018a7
1414b322a00
15b8eee180
hex76226598

1981965720 has 96 divisors (see below), whose sum is σ = 6916676400. Its totient is φ = 453019392.

The previous prime is 1981965709. The next prime is 1981965721. The reversal of 1981965720 is 275691891.

It is a self number, because there is not a number n which added to its sum of digits gives 1981965720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981965721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162655 + ... + 174414.

Almost surely, 21981965720 is an apocalyptic number.

1981965720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1981965720 is an abundant number, since it is smaller than the sum of its proper divisors (4934710680).

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

1981965720 is a wasteful number, since it uses less digits than its factorization.

1981965720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337097 (or 337086 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The square root of 1981965720 is about 44519.2735789793. The cubic root of 1981965720 is about 1256.1226485095.

The spelling of 1981965720 in words is "one billion, nine hundred eighty-one million, nine hundred sixty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 337069 674138 1011207 1348276 1685345 2022414 2359483 2696552 3370690 4044828 4718966 5056035 6741380 7078449 8089656 9437932 10112070 11797415 13482760 14156898 16516381 18875864 20224140 23594830 28313796 33032762 35392245 40448280 47189660 49549143 56627592 66065524 70784490 82581905 94379320 99098286 132131048 141568980 165163810 198196572 247745715 283137960 330327620 396393144 495491430 660655240 990982860 1981965720