Search a number
-
+
21498192 = 2432236491
BaseRepresentation
bin101001000000…
…0100101010000
31111110012222100
41102000211100
521000420232
62044440400
7350505642
oct122004520
944405870
1021498192
1111153a01
127249100
1345b9331
142bd8892
151d49c7c
hex1480950

21498192 has 60 divisors (see below), whose sum is σ = 62790624. Its totient is φ = 6853440.

The previous prime is 21498181. The next prime is 21498203. The reversal of 21498192 is 29189412.

It is an interprime number because it is at equal distance from previous prime (21498181) and next prime (21498203).

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67 + ... + 6557.

Almost surely, 221498192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21498192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395312).

21498192 is an abundant number, since it is smaller than the sum of its proper divisors (41292432).

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

21498192 is a wasteful number, since it uses less digits than its factorization.

21498192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6519 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 21498192 is about 4636.6142819950. The cubic root of 21498192 is about 278.0570936685.

The spelling of 21498192 in words is "twenty-one million, four hundred ninety-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 6491 12982 19473 25964 38946 51928 58419 77892 103856 116838 149293 155784 233676 298586 311568 447879 467352 597172 895758 934704 1194344 1343637 1791516 2388688 2687274 3583032 5374548 7166064 10749096 21498192