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164820416 = 262575319
BaseRepresentation
bin10011101001011…
…11010111000000
3102111010202002212
421310233113000
5314143223131
624204401252
74040643665
oct1164572700
9374122085
10164820416
1185045022
1247246228
13281ba897
1417c65a6c
15e70aa2b
hex9d2f5c0

164820416 has 14 divisors (see below), whose sum is σ = 327065640. Its totient is φ = 82410176.

The previous prime is 164820413. The next prime is 164820443. The reversal of 164820416 is 614028461.

164820416 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164820413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1287596 + ... + 1287723.

Almost surely, 2164820416 is an apocalyptic number.

164820416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164820416 is a deficient number, since it is larger than the sum of its proper divisors (162245224).

164820416 is an equidigital number, since it uses as much as digits as its factorization.

164820416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575331 (or 2575321 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 164820416 is about 12838.2403778711. The cubic root of 164820416 is about 548.2815964424.

Adding to 164820416 its reverse (614028461), we get a palindrome (778848877).

The spelling of 164820416 in words is "one hundred sixty-four million, eight hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 2575319 5150638 10301276 20602552 41205104 82410208 164820416