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1997424 = 2432111397
BaseRepresentation
bin111100111101001110000
310202110221200
413213221300
51002404144
6110451200
722656252
oct7475160
93673850
101997424
111144770
12803b00
1354c210
1439dcd2
15296c69
hex1e7a70

1997424 has 120 divisors (see below), whose sum is σ = 6634992. Its totient is φ = 552960.

The previous prime is 1997419. The next prime is 1997431. The reversal of 1997424 is 4247991.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (18144) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20544 + ... + 20640.

21997424 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 1997424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317496).

1997424 is an abundant number, since it is smaller than the sum of its proper divisors (4637568).

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

1997424 is a wasteful number, since it uses less digits than its factorization.

1997424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1997424 is about 1413.3025153873. The cubic root of 1997424 is about 125.9379891387.

The spelling of 1997424 in words is "one million, nine hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 97 99 104 117 132 143 144 156 176 194 198 208 234 264 286 291 312 388 396 429 468 528 572 582 624 776 792 858 873 936 1067 1144 1164 1261 1287 1552 1584 1716 1746 1872 2134 2288 2328 2522 2574 3201 3432 3492 3783 4268 4656 5044 5148 6402 6864 6984 7566 8536 9603 10088 10296 11349 12804 13871 13968 15132 17072 19206 20176 20592 22698 25608 27742 30264 38412 41613 45396 51216 55484 60528 76824 83226 90792 110968 124839 153648 166452 181584 221936 249678 332904 499356 665808 998712 1997424