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20122464 = 2531791171
BaseRepresentation
bin100110011000…
…0101101100000
31101212022211110
41030300231200
520122404324
61555143320
7333016035
oct114605540
941768743
1020122464
11103a433a
1268a4b40
1342270ab
14295b38c
151b77329
hex1330b60

20122464 has 48 divisors (see below), whose sum is σ = 53161920. Its totient is φ = 6664320.

The previous prime is 20122429. The next prime is 20122469. The reversal of 20122464 is 46422102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20122464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16599 + ... + 17769.

It is an arithmetic number, because the mean of its divisors is an integer number (1107540).

Almost surely, 220122464 is an apocalyptic number.

20122464 is a gapful number since it is divisible by the number (24) 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 20122464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26580960).

20122464 is an abundant number, since it is smaller than the sum of its proper divisors (33039456).

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

20122464 is a wasteful number, since it uses less digits than its factorization.

20122464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 20122464 is about 4485.8069508172. The cubic root of 20122464 is about 271.9946654086.

Adding to 20122464 its reverse (46422102), we get a palindrome (66544566).

The spelling of 20122464 in words is "twenty million, one hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1171 1432 2148 2342 2864 3513 4296 4684 5728 7026 8592 9368 14052 17184 18736 28104 37472 56208 112416 209609 419218 628827 838436 1257654 1676872 2515308 3353744 5030616 6707488 10061232 20122464