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8493940 = 2257132359
BaseRepresentation
bin100000011001…
…101101110100
3120222112111101
4200121231310
54133301230
6502015444
7132124450
oct40315564
916875441
108493940
114881694
122a17584
1319b5200
1411b1660
15b2baca
hex819b74

8493940 has 72 divisors (see below), whose sum is σ = 22135680. Its totient is φ = 2680704.

The previous prime is 8493937. The next prime is 8493941. The reversal of 8493940 is 493948.

It is a self number, because there is not a number n which added to its sum of digits gives 8493940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8493941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23481 + ... + 23839.

It is an arithmetic number, because the mean of its divisors is an integer number (307440).

Almost surely, 28493940 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 8493940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11067840).

8493940 is an abundant number, since it is smaller than the sum of its proper divisors (13641740).

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

8493940 is a wasteful number, since it uses less digits than its factorization.

8493940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 8493940 is about 2914.4364806940. The cubic root of 8493940 is about 204.0342438990.

The spelling of 8493940 in words is "eight million, four hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 359 364 455 676 718 845 910 1183 1436 1690 1795 1820 2366 2513 3380 3590 4667 4732 5026 5915 7180 9334 10052 11830 12565 18668 23335 23660 25130 32669 46670 50260 60671 65338 93340 121342 130676 163345 242684 303355 326690 424697 606710 653380 849394 1213420 1698788 2123485 4246970 8493940