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1985424 = 243719311
BaseRepresentation
bin111100100101110010000
310201212111020
413210232100
51002013144
6110315440
722606260
oct7445620
93655436
101985424
111136751
127b8b80
1354690c
143997a0
15293419
hex1e4b90

1985424 has 80 divisors (see below), whose sum is σ = 6190080. Its totient is φ = 535680.

The previous prime is 1985419. The next prime is 1985441. The reversal of 1985424 is 4245891.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6229 + ... + 6539.

It is an arithmetic number, because the mean of its divisors is an integer number (77376).

21985424 is an apocalyptic number.

1985424 is a gapful number since it is divisible by the number (14) 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 1985424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095040).

1985424 is an abundant number, since it is smaller than the sum of its proper divisors (4204656).

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

1985424 is a wasteful number, since it uses less digits than its factorization.

1985424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 1985424 is about 1409.0507442956. The cubic root of 1985424 is about 125.6852815812.

The spelling of 1985424 in words is "one million, nine hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 311 336 399 456 532 622 798 912 933 1064 1244 1596 1866 2128 2177 2488 3192 3732 4354 4976 5909 6384 6531 7464 8708 11818 13062 14928 17416 17727 23636 26124 34832 35454 41363 47272 52248 70908 82726 94544 104496 124089 141816 165452 248178 283632 330904 496356 661808 992712 1985424