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196610544 = 24331322693
BaseRepresentation
bin10111011100000…
…00100111110000
3111200221211222000
423232000213300
5400313014134
631302014000
74605106404
oct1356004760
9450854860
10196610544
11a0a88459
1255a17300
133196b600
141c17d104
15123d9e99
hexbb809f0

196610544 has 120 divisors (see below), whose sum is σ = 611322480. Its totient is φ = 60473088.

The previous prime is 196610543. The next prime is 196610551. The reversal of 196610544 is 445016691.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 196610499 and 196610508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196610543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71662 + ... + 74354.

It is an arithmetic number, because the mean of its divisors is an integer number (5094354).

Almost surely, 2196610544 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 196610544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305661240).

196610544 is an abundant number, since it is smaller than the sum of its proper divisors (414711936).

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

196610544 is a wasteful number, since it uses less digits than its factorization.

196610544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 196610544 is about 14021.7881883874. The cubic root of 196610544 is about 581.4810977005.

The spelling of 196610544 in words is "one hundred ninety-six million, six hundred ten thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 208 216 234 312 338 351 432 468 507 624 676 702 936 1014 1352 1404 1521 1872 2028 2693 2704 2808 3042 4056 4563 5386 5616 6084 8079 8112 9126 10772 12168 16158 18252 21544 24237 24336 32316 35009 36504 43088 48474 64632 70018 72711 73008 96948 105027 129264 140036 145422 193896 210054 280072 290844 315081 387792 420108 455117 560144 581688 630162 840216 910234 945243 1163376 1260324 1365351 1680432 1820468 1890486 2520648 2730702 3640936 3780972 4096053 5041296 5461404 7281872 7561944 8192106 10922808 12288159 15123888 16384212 21845616 24576318 32768424 49152636 65536848 98305272 196610544