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2097480 = 2335711227
BaseRepresentation
bin1000000000000101001000
310221120012110
420000011020
51014104410
6112542320
723554050
oct10000510
93846173
102097480
111202960
128519a0
13585918
143c8560
152b6720
hex200148

2097480 has 128 divisors (see below), whose sum is σ = 7879680. Its totient is φ = 433920.

The previous prime is 2097479. The next prime is 2097481. The reversal of 2097480 is 847902.

It is an interprime number because it is at equal distance from previous prime (2097479) and next prime (2097481).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9127 + ... + 9353.

It is an arithmetic number, because the mean of its divisors is an integer number (61560).

22097480 is an apocalyptic number.

2097480 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 2097480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939840).

2097480 is an abundant number, since it is smaller than the sum of its proper divisors (5782200).

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

2097480 is a wasteful number, since it uses less digits than its factorization.

2097480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2097480 is about 1448.2679310128. The cubic root of 2097480 is about 128.0066728292.

The spelling of 2097480 in words is "two million, ninety-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 227 231 264 280 308 330 385 420 440 454 462 616 660 681 770 840 908 924 1135 1155 1320 1362 1540 1589 1816 1848 2270 2310 2497 2724 3080 3178 3405 4540 4620 4767 4994 5448 6356 6810 7491 7945 9080 9240 9534 9988 12485 12712 13620 14982 15890 17479 19068 19976 23835 24970 27240 29964 31780 34958 37455 38136 47670 49940 52437 59928 63560 69916 74910 87395 95340 99880 104874 139832 149820 174790 190680 209748 262185 299640 349580 419496 524370 699160 1048740 2097480