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1985430 = 235172229
BaseRepresentation
bin111100100101110010110
310201212111110
413210232112
51002013210
6110315450
722606266
oct7445626
93655443
101985430
111136757
127b8b86
13546915
143997a6
15293420
hex1e4b96

1985430 has 48 divisors (see below), whose sum is σ = 5083920. Its totient is φ = 496128.

The previous prime is 1985419. The next prime is 1985441. The reversal of 1985430 is 345891.

It is an interprime number because it is at equal distance from previous prime (1985419) and next prime (1985441).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8556 + ... + 8784.

It is an arithmetic number, because the mean of its divisors is an integer number (105915).

21985430 is an apocalyptic number.

1985430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541960).

1985430 is an abundant number, since it is smaller than the sum of its proper divisors (3098490).

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

1985430 is a wasteful number, since it uses less digits than its factorization.

1985430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1985430 is about 1409.0528733869. The cubic root of 1985430 is about 125.6854081890.

It can be divided in two parts, 1985 and 430, that added together give a triangular number (2415 = T69).

The spelling of 1985430 in words is "one million, nine hundred eighty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 229 255 289 458 510 578 687 867 1145 1374 1445 1734 2290 2890 3435 3893 4335 6870 7786 8670 11679 19465 23358 38930 58395 66181 116790 132362 198543 330905 397086 661810 992715 1985430