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2493920 = 2551113109
BaseRepresentation
bin1001100000110111100000
311200201000102
421200313200
51114301140
6125241532
730124622
oct11406740
94621012
102493920
1114537a0
12a032a8
136941c0
1448cc12
15343e15
hex260de0

2493920 has 96 divisors (see below), whose sum is σ = 6985440. Its totient is φ = 829440.

The previous prime is 2493877. The next prime is 2493923. The reversal of 2493920 is 293942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22826 + ... + 22934.

It is an arithmetic number, because the mean of its divisors is an integer number (72765).

22493920 is an apocalyptic number.

2493920 is a gapful number since it is divisible by the number (20) 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 2493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492720).

2493920 is an abundant number, since it is smaller than the sum of its proper divisors (4491520).

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

2493920 is a wasteful number, since it uses less digits than its factorization.

2493920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 2493920 is about 1579.2149948630. The cubic root of 2493920 is about 135.6107671219.

The spelling of 2493920 in words is "two million, four hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 109 110 130 143 160 176 208 218 220 260 286 352 416 436 440 520 545 572 715 872 880 1040 1090 1144 1199 1417 1430 1744 1760 2080 2180 2288 2398 2834 2860 3488 4360 4576 4796 5668 5720 5995 7085 8720 9592 11336 11440 11990 14170 15587 17440 19184 22672 22880 23980 28340 31174 38368 45344 47960 56680 62348 77935 95920 113360 124696 155870 191840 226720 249392 311740 498784 623480 1246960 2493920