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20746464 = 2531971097
BaseRepresentation
bin100111100100…
…1000011100000
31110001000210120
41033021003200
520302341324
62020400240
7341225214
oct117110340
943030716
1020746464
1110790142
126b46080
1343b511b
142a80944
151c4c179
hex13c90e0

20746464 has 48 divisors (see below), whose sum is σ = 54785808. Its totient is φ = 6874112.

The previous prime is 20746441. The next prime is 20746487. The reversal of 20746464 is 46464702.

It is an interprime number because it is at equal distance from previous prime (20746441) and next prime (20746487).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18364 + ... + 19460.

It is an arithmetic number, because the mean of its divisors is an integer number (1141371).

Almost surely, 220746464 is an apocalyptic number.

20746464 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 20746464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27392904).

20746464 is an abundant number, since it is smaller than the sum of its proper divisors (34039344).

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

20746464 is a wasteful number, since it uses less digits than its factorization.

20746464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 20746464 is about 4554.8286466123. The cubic root of 20746464 is about 274.7776229795. Note that the first 3 decimals are identical.

The spelling of 20746464 in words is "twenty million, seven hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 1097 1182 1576 2194 2364 3152 3291 4388 4728 6304 6582 8776 9456 13164 17552 18912 26328 35104 52656 105312 216109 432218 648327 864436 1296654 1728872 2593308 3457744 5186616 6915488 10373232 20746464