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1998432 = 2535257
BaseRepresentation
bin111100111111001100000
310202112100000
413213321200
51002422212
6110500000
722662222
oct7477140
93675300
101998432
1111454a7
12804600
1354c807
143a0412
152971dc
hex1e7e60

1998432 has 72 divisors (see below), whose sum is σ = 5916456. Its totient is φ = 663552.

The previous prime is 1998431. The next prime is 1998443. The reversal of 1998432 is 2348991.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a zygodrome in base 2 and base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7648 + ... + 7904.

It is an arithmetic number, because the mean of its divisors is an integer number (82173).

21998432 is an apocalyptic number.

1998432 is a gapful number since it is divisible by the number (12) 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 1998432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958228).

1998432 is an abundant number, since it is smaller than the sum of its proper divisors (3918024).

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

1998432 is an equidigital number, since it uses as much as digits as its factorization.

1998432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1998432 is about 1413.6590819572. The cubic root of 1998432 is about 125.9591704443.

The spelling of 1998432 in words is "one million, nine hundred ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 257 288 324 432 486 514 648 771 864 972 1028 1296 1542 1944 2056 2313 2592 3084 3888 4112 4626 6168 6939 7776 8224 9252 12336 13878 18504 20817 24672 27756 37008 41634 55512 62451 74016 83268 111024 124902 166536 222048 249804 333072 499608 666144 999216 1998432