Search a number
-
+
97282983420 = 22335725736239
BaseRepresentation
bin101101010011010000…
…1001000010111111100
3100022002211002121012000
41122212201020113330
53043213420432140
6112405143542300
710012522500240
oct1324641102774
9308084077160
1097282983420
1138291787357
1216a2ba5a990
13923494881c
1449cc27c420
1527e5942a30
hex16a68485fc

97282983420 has 96 divisors (see below), whose sum is σ = 345895065600. Its totient is φ = 22236109632.

The previous prime is 97282983407. The next prime is 97282983433. The reversal of 97282983420 is 2438928279.

It is a happy number.

97282983420 is a `hidden beast` number, since 9 + 7 + 2 + 8 + 298 + 342 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (97282983407) and next prime (97282983433).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 12864340 + ... + 12871899.

It is an arithmetic number, because the mean of its divisors is an integer number (3603073600).

Almost surely, 297282983420 is an apocalyptic number.

97282983420 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97282983420 is an abundant number, since it is smaller than the sum of its proper divisors (248612082180).

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

97282983420 is a wasteful number, since it uses less digits than its factorization.

97282983420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25736264 (or 25736256 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 97282983420 in words is "ninety-seven billion, two hundred eighty-two million, nine hundred eighty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 25736239 51472478 77208717 102944956 128681195 154417434 180153673 231626151 257362390 308834868 360307346 386043585 463252302 514724780 540461019 694878453 720614692 772087170 900768365 926504604 1080922038 1158130755 1389756906 1544174340 1621383057 1801536730 2161844076 2316261510 2702305095 2779513812 3242766114 3474392265 3603073460 4632523020 4864149171 5404610190 6485532228 6948784530 8106915285 9728298342 10809220380 13897569060 16213830570 19456596684 24320745855 32427661140 48641491710 97282983420