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16106496 = 210372107
BaseRepresentation
bin111101011100…
…010000000000
31010022021221220
4331130100000
513110401441
61333115040
7253621500
oct75342000
933267856
1016106496
11910105a
125488a80
13344c193
1421d3a00
151632466
hexf5c400

16106496 has 132 divisors (see below), whose sum is σ = 50405328. Its totient is φ = 4558848.

The previous prime is 16106491. The next prime is 16106527. The reversal of 16106496 is 69460161.

It is a super-3 number, since 3×161064963 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16106491) 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, 150475 + ... + 150581.

Almost surely, 216106496 is an apocalyptic number.

16106496 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 16106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25202664).

16106496 is an abundant number, since it is smaller than the sum of its proper divisors (34298832).

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

16106496 is a wasteful number, since it uses less digits than its factorization.

16106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 16106496 is about 4013.2899222458. The cubic root of 16106496 is about 252.5420431249.

The spelling of 16106496 in words is "sixteen million, one hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 107 112 128 147 168 192 196 214 224 256 294 321 336 384 392 428 448 512 588 642 672 749 768 784 856 896 1024 1176 1284 1344 1498 1536 1568 1712 1792 2247 2352 2568 2688 2996 3072 3136 3424 3584 4494 4704 5136 5243 5376 5992 6272 6848 7168 8988 9408 10272 10486 10752 11984 12544 13696 15729 17976 18816 20544 20972 21504 23968 25088 27392 31458 35952 37632 41088 41944 47936 50176 54784 62916 71904 75264 82176 83888 95872 109568 125832 143808 150528 164352 167776 191744 251664 287616 328704 335552 383488 503328 575232 671104 766976 1006656 1150464 1342208 2013312 2300928 2684416 4026624 5368832 8053248 16106496