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1997520 = 243572941
BaseRepresentation
bin111100111101011010000
310202111002020
413213223100
51002410040
6110451440
722656450
oct7475320
93674066
101997520
111144848
12803b80
1354c285
1439dd60
15296cd0
hex1e7ad0

1997520 has 160 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 430080.

The previous prime is 1997507. The next prime is 1997531. The reversal of 1997520 is 257991.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48700 + ... + 48740.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

21997520 is an apocalyptic number.

1997520 is a gapful number since it is divisible by the number (10) 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 1997520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

1997520 is an abundant number, since it is smaller than the sum of its proper divisors (5502000).

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

1997520 is a wasteful number, since it uses less digits than its factorization.

1997520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 1997520 is about 1413.3364779839. The cubic root of 1997520 is about 125.9400067129.

The spelling of 1997520 in words is "one million, nine hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 41 42 48 56 58 60 70 80 82 84 87 105 112 116 120 123 140 145 164 168 174 203 205 210 232 240 246 280 287 290 328 336 348 406 410 420 435 464 492 560 574 580 609 615 656 696 812 820 840 861 870 984 1015 1148 1160 1189 1218 1230 1392 1435 1624 1640 1680 1722 1740 1968 2030 2296 2320 2378 2436 2460 2870 3045 3248 3280 3444 3480 3567 4060 4305 4592 4756 4872 4920 5740 5945 6090 6888 6960 7134 8120 8323 8610 9512 9744 9840 11480 11890 12180 13776 14268 16240 16646 17220 17835 19024 22960 23780 24360 24969 28536 33292 34440 35670 41615 47560 48720 49938 57072 66584 68880 71340 83230 95120 99876 124845 133168 142680 166460 199752 249690 285360 332920 399504 499380 665840 998760 1997520