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1993392 = 2432109127
BaseRepresentation
bin111100110101010110000
310202021102100
413212222300
51002242032
6110420400
722641432
oct7465260
93667370
101993392
111141735
12801700
1354a42b
1439c652
1529597c
hex1e6ab0

1993392 has 60 divisors (see below), whose sum is σ = 5674240. Its totient is φ = 653184.

The previous prime is 1993367. The next prime is 1993417. The reversal of 1993392 is 2933991.

It is an interprime number because it is at equal distance from previous prime (1993367) and next prime (1993417).

It is a super-2 number, since 2×19933922 = 7947223331328, which contains 22 as substring.

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 unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15633 + ... + 15759.

21993392 is an apocalyptic number.

1993392 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 1993392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837120).

1993392 is an abundant number, since it is smaller than the sum of its proper divisors (3680848).

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

1993392 is a wasteful number, since it uses less digits than its factorization.

1993392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 241 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 1993392 is about 1411.8753486055. The cubic root of 1993392 is about 125.8531925831.

The spelling of 1993392 in words is "one million, nine hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 127 144 218 254 327 381 436 508 654 762 872 981 1016 1143 1308 1524 1744 1962 2032 2286 2616 3048 3924 4572 5232 6096 7848 9144 13843 15696 18288 27686 41529 55372 83058 110744 124587 166116 221488 249174 332232 498348 664464 996696 1993392