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1321992 = 233274361
BaseRepresentation
bin101000010110000001000
32111011102200
411002300020
5314300432
644200200
714144130
oct5026010
92434380
101321992
11823261
12539060
13373959
14265ac0
151b1a7c
hex142c08

1321992 has 96 divisors (see below), whose sum is σ = 4255680. Its totient is φ = 362880.

The previous prime is 1321981. The next prime is 1321997. The reversal of 1321992 is 2991231.

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

It is not an unprimeable number, because it can be changed into a prime (1321997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21642 + ... + 21702.

It is an arithmetic number, because the mean of its divisors is an integer number (44330).

21321992 is an apocalyptic number.

1321992 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 1321992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127840).

1321992 is an abundant number, since it is smaller than the sum of its proper divisors (2933688).

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

1321992 is a wasteful number, since it uses less digits than its factorization.

1321992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 116 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1321992 is about 1149.7791092205. The cubic root of 1321992 is about 109.7512837925.

The spelling of 1321992 in words is "one million, three hundred twenty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 61 63 72 84 86 122 126 129 168 172 183 244 252 258 301 344 366 387 427 488 504 516 549 602 732 774 854 903 1032 1098 1204 1281 1464 1548 1708 1806 2196 2408 2562 2623 2709 3096 3416 3612 3843 4392 5124 5246 5418 7224 7686 7869 10248 10492 10836 15372 15738 18361 20984 21672 23607 30744 31476 36722 47214 55083 62952 73444 94428 110166 146888 165249 188856 220332 330498 440664 660996 1321992