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20493324 = 2234193329
BaseRepresentation
bin100111000101…
…1010000001100
31102120011120000
41032023100030
520221241244
62011124300
7336122205
oct116132014
942504500
1020493324
1110627a35
126a43690
134326b37
142a165ac
151bec169
hex138b40c

20493324 has 60 divisors (see below), whose sum is σ = 56410200. Its totient is φ = 6469632.

The previous prime is 20493323. The next prime is 20493331. The reversal of 20493324 is 42339402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20493323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4492 + ... + 7820.

It is an arithmetic number, because the mean of its divisors is an integer number (940170).

Almost surely, 220493324 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 20493324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28205100).

20493324 is an abundant number, since it is smaller than the sum of its proper divisors (35916876).

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

20493324 is a wasteful number, since it uses less digits than its factorization.

20493324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 20493324 is about 4526.9552681687. The cubic root of 20493324 is about 273.6554712088.

It can be divided in two parts, 204 and 93324, that added together give a triangular number (93528 = T432).

The spelling of 20493324 in words is "twenty million, four hundred ninety-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 3329 6156 6658 9987 13316 19974 29961 39948 59922 63251 89883 119844 126502 179766 189753 253004 269649 359532 379506 539298 569259 759012 1078596 1138518 1707777 2277036 3415554 5123331 6831108 10246662 20493324