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2093520 = 2435111361
BaseRepresentation
bin111111111000111010000
310221100202210
413333013100
51013443040
6112512120
723536362
oct7770720
93840683
102093520
1111aa990
1284b640
13583b90
143c6d32
152b5480
hex1ff1d0

2093520 has 160 divisors (see below), whose sum is σ = 7749504. Its totient is φ = 460800.

The previous prime is 2093513. The next prime is 2093527. The reversal of 2093520 is 253902.

It is an interprime number because it is at equal distance from previous prime (2093513) and next prime (2093527).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34290 + ... + 34350.

22093520 is an apocalyptic number.

2093520 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 2093520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874752).

2093520 is an abundant number, since it is smaller than the sum of its proper divisors (5655984).

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

2093520 is a wasteful number, since it uses less digits than its factorization.

2093520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 2093520 is about 1446.9001347709. The cubic root of 2093520 is about 127.9260640719.

The spelling of 2093520 in words is "two million, ninety-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 61 65 66 78 80 88 104 110 120 122 130 132 143 156 165 176 183 195 208 220 240 244 260 264 286 305 312 330 366 390 429 440 488 520 528 572 610 624 660 671 715 732 780 793 858 880 915 976 1040 1144 1220 1320 1342 1430 1464 1560 1586 1716 1830 2013 2145 2288 2379 2440 2640 2684 2860 2928 3120 3172 3355 3432 3660 3965 4026 4290 4758 4880 5368 5720 6344 6710 6864 7320 7930 8052 8580 8723 9516 10065 10736 11440 11895 12688 13420 14640 15860 16104 17160 17446 19032 20130 23790 26169 26840 31720 32208 34320 34892 38064 40260 43615 47580 52338 53680 63440 69784 80520 87230 95160 104676 130845 139568 161040 174460 190320 209352 261690 348920 418704 523380 697840 1046760 2093520