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196590144 = 2635319319
BaseRepresentation
bin10111011011110…
…11101001000000
3111200220210222110
423231323221000
5400311341034
631301335320
74604663052
oct1355735100
9450823873
10196590144
11a0a740a3
1255a07540
133196223a
141c1758d2
15123d3de9
hexbb7ba40

196590144 has 56 divisors (see below), whose sum is σ = 529986240. Its totient is φ = 64290304.

The previous prime is 196590113. The next prime is 196590179. The reversal of 196590144 is 441095691.

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, 517 + ... + 19835.

It is an arithmetic number, because the mean of its divisors is an integer number (9464040).

Almost surely, 2196590144 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 196590144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264993120).

196590144 is an abundant number, since it is smaller than the sum of its proper divisors (333396096).

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

196590144 is a wasteful number, since it uses less digits than its factorization.

196590144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19387 (or 19377 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 196590144 is about 14021.0607302015. The cubic root of 196590144 is about 581.4609858176.

The spelling of 196590144 in words is "one hundred ninety-six million, five hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2544 3392 5088 10176 19319 38638 57957 77276 115914 154552 231828 309104 463656 618208 927312 1023907 1236416 1854624 2047814 3071721 3709248 4095628 6143442 8191256 12286884 16382512 24573768 32765024 49147536 65530048 98295072 196590144