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206109696 = 2103132397
BaseRepresentation
bin11000100100011…
…11110000000000
3112100211110100110
430102033300000
5410231002241
632241351320
75051621622
oct1422176000
9470743313
10206109696
11a63862a1
1259038540
1333916200
141d532c12
1513164816
hexc48fc00

206109696 has 132 divisors (see below), whose sum is σ = 596364792. Its totient is φ = 63258624.

The previous prime is 206109691. The next prime is 206109719. The reversal of 206109696 is 696901602.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206109691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 518970 + ... + 519366.

Almost surely, 2206109696 is an apocalyptic number.

206109696 is a gapful number since it is divisible by the number (26) 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 206109696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298182396).

206109696 is an abundant number, since it is smaller than the sum of its proper divisors (390255096).

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

206109696 is a wasteful number, since it uses less digits than its factorization.

206109696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 206109696 is about 14356.5210270455. The cubic root of 206109696 is about 590.6988711612.

The spelling of 206109696 in words is "two hundred six million, one hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 397 416 507 512 624 676 768 794 832 1014 1024 1191 1248 1352 1536 1588 1664 2028 2382 2496 2704 3072 3176 3328 4056 4764 4992 5161 5408 6352 6656 8112 9528 9984 10322 10816 12704 13312 15483 16224 19056 19968 20644 21632 25408 30966 32448 38112 39936 41288 43264 50816 61932 64896 67093 76224 82576 86528 101632 123864 129792 134186 152448 165152 173056 201279 203264 247728 259584 268372 304896 330304 402558 406528 495456 519168 536744 609792 660608 805116 990912 1073488 1219584 1321216 1610232 1981824 2146976 2642432 3220464 3963648 4293952 5284864 6440928 7927296 8587904 12881856 15854592 17175808 25763712 34351616 51527424 68703232 103054848 206109696