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196680064 = 277227967
BaseRepresentation
bin10111011100100…
…01100110000000
3111201002101022211
423232101212000
5400322230224
631303311504
74605516160
oct1356214600
9451071284
10196680064
11a1025709
1255a4b594
1331994149
141c19a5a0
1512400894
hexbb91980

196680064 has 64 divisors (see below), whose sum is σ = 450236160. Its totient is φ = 83833344.

The previous prime is 196680053. The next prime is 196680073. The reversal of 196680064 is 460086691.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 196679999 and 196680026.

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, 202909 + ... + 203875.

It is an arithmetic number, because the mean of its divisors is an integer number (7034940).

Almost surely, 2196680064 is an apocalyptic number.

196680064 is a gapful number since it is divisible by the number (14) 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 196680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225118080).

196680064 is an abundant number, since it is smaller than the sum of its proper divisors (253556096).

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

196680064 is an equidigital number, since it uses as much as digits as its factorization.

196680064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 196680064 is about 14024.2669683659. The cubic root of 196680064 is about 581.5496253956.

The spelling of 196680064 in words is "one hundred ninety-six million, six hundred eighty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 227 448 454 896 908 967 1589 1816 1934 3178 3632 3868 6356 6769 7264 7736 12712 13538 14528 15472 25424 27076 29056 30944 50848 54152 61888 101696 108304 123776 203392 216608 219509 433216 439018 866432 878036 1536563 1756072 3073126 3512144 6146252 7024288 12292504 14048576 24585008 28097152 49170016 98340032 196680064