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195413136 = 24329791777
BaseRepresentation
bin10111010010111…
…00010010010000
3111121201000102120
423221130102100
5400011210021
631220214240
74561661412
oct1351342220
9447630376
10195413136
11a033a866
125553a380
133163c599
141bd4a9b2
15122502c6
hexba5c490

195413136 has 80 divisors (see below), whose sum is σ = 529132800. Its totient is φ = 62060544.

The previous prime is 195413131. The next prime is 195413161. The reversal of 195413136 is 631314591.

It is a junction number, because it is equal to n+sod(n) for n = 195413097 and 195413106.

It is not an unprimeable number, because it can be changed into a prime (195413131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109080 + ... + 110856.

It is an arithmetic number, because the mean of its divisors is an integer number (6614160).

Almost surely, 2195413136 is an apocalyptic number.

195413136 is a gapful number since it is divisible by the number (16) 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 195413136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264566400).

195413136 is an abundant number, since it is smaller than the sum of its proper divisors (333719664).

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

195413136 is a wasteful number, since it uses less digits than its factorization.

195413136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1890 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 195413136 is about 13979.0248586945. The cubic root of 195413136 is about 580.2982374239.

The spelling of 195413136 in words is "one hundred ninety-five million, four hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 79 87 116 158 174 232 237 316 348 464 474 632 696 948 1264 1392 1777 1896 2291 3554 3792 4582 5331 6873 7108 9164 10662 13746 14216 18328 21324 27492 28432 36656 42648 51533 54984 85296 103066 109968 140383 154599 206132 280766 309198 412264 421149 561532 618396 824528 842298 1123064 1236792 1684596 2246128 2473584 3369192 4071107 6738384 8142214 12213321 16284428 24426642 32568856 48853284 65137712 97706568 195413136