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9324589920 = 253556934141
BaseRepresentation
bin10001010111100100…
…11111001101100000
3220001211212020200020
420223302133031200
5123044043334140
64141134153440
7450033464232
oct105362371540
926054766606
109324589920
113a55540468
121982952880
13b57aaa739
1464658a252
153989466d0
hex22bc9f360

9324589920 has 96 divisors (see below), whose sum is σ = 29424941280. Its totient is φ = 2482114560.

The previous prime is 9324589903. The next prime is 9324589933. The reversal of 9324589920 is 299854239.

It is a happy number.

9324589920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256050 + ... + 290190.

It is an arithmetic number, because the mean of its divisors is an integer number (306509805).

Almost surely, 29324589920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9324589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712470640).

9324589920 is an abundant number, since it is smaller than the sum of its proper divisors (20100351360).

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

9324589920 is a wasteful number, since it uses less digits than its factorization.

9324589920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34728 (or 34720 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 9324589920 is about 96563.9162420415. The cubic root of 9324589920 is about 2104.7955349687.

The spelling of 9324589920 in words is "nine billion, three hundred twenty-four million, five hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 569 1138 1707 2276 2845 3414 4552 5690 6828 8535 9104 11380 13656 17070 18208 22760 27312 34140 34141 45520 54624 68280 68282 91040 102423 136560 136564 170705 204846 273120 273128 341410 409692 512115 546256 682820 819384 1024230 1092512 1365640 1638768 2048460 2731280 3277536 4096920 5462560 8193840 16387680 19426229 38852458 58278687 77704916 97131145 116557374 155409832 194262290 233114748 291393435 310819664 388524580 466229496 582786870 621639328 777049160 932458992 1165573740 1554098320 1864917984 2331147480 3108196640 4662294960 9324589920