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195887104 = 2167261
BaseRepresentation
bin10111010110100…
…00000000000000
3111122121002120221
423223100000000
5400121341404
631234312424
74566004300
oct1353200000
9448532527
10195887104
11a0633976
1255728714
133177723a
141c031600
15122e5954
hexbad0000

195887104 has 102 divisors (see below), whose sum is σ = 463204914. Its totient is φ = 82575360.

The previous prime is 195887101. The next prime is 195887119. The reversal of 195887104 is 401788591.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 80281600 = 10752^2 + 8960^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195887101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3211234 + ... + 3211294.

Almost surely, 2195887104 is an apocalyptic number.

195887104 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 195887104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231602457).

195887104 is an abundant number, since it is smaller than the sum of its proper divisors (267317810).

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

195887104 is an frugal number, since it uses more digits than its factorization.

195887104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

The square root of 195887104 is about 13995.9674192247. The cubic root of 195887104 is about 580.7670232499.

The spelling of 195887104 in words is "one hundred ninety-five million, eight hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 256 392 427 448 488 512 784 854 896 976 1024 1568 1708 1792 1952 2048 2989 3136 3416 3584 3904 4096 5978 6272 6832 7168 7808 8192 11956 12544 13664 14336 15616 16384 23912 25088 27328 28672 31232 32768 47824 50176 54656 57344 62464 65536 95648 100352 109312 114688 124928 191296 200704 218624 229376 249856 382592 401408 437248 458752 499712 765184 802816 874496 999424 1530368 1605632 1748992 1998848 3060736 3211264 3497984 3997696 6121472 6995968 12242944 13991936 24485888 27983872 48971776 97943552 195887104