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20769216 = 2631353157
BaseRepresentation
bin100111100111…
…0100111000000
31110002012000020
41033032213000
520304103331
62021053440
7341351436
oct117164700
943065006
1020769216
11107a6246
126b57280
1343c25a0
142a88d56
151c53c96
hex13ce9c0

20769216 has 112 divisors (see below), whose sum is σ = 60679584. Its totient is φ = 6230016.

The previous prime is 20769211. The next prime is 20769233. The reversal of 20769216 is 61296702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20769211) 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, 132210 + ... + 132366.

It is an arithmetic number, because the mean of its divisors is an integer number (541782).

Almost surely, 220769216 is an apocalyptic number.

20769216 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 20769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30339792).

20769216 is an abundant number, since it is smaller than the sum of its proper divisors (39910368).

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

20769216 is a wasteful number, since it uses less digits than its factorization.

20769216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 20769216 is about 4557.3255314932. The cubic root of 20769216 is about 274.8780329659.

The spelling of 20769216 in words is "twenty million, seven hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 156 157 159 192 208 212 312 314 318 416 424 471 624 628 636 689 832 848 942 1248 1256 1272 1378 1696 1884 2041 2067 2496 2512 2544 2756 3392 3768 4082 4134 5024 5088 5512 6123 7536 8164 8268 8321 10048 10176 11024 12246 15072 16328 16536 16642 22048 24492 24963 30144 32656 33072 33284 44096 48984 49926 65312 66144 66568 97968 99852 108173 130624 132288 133136 195936 199704 216346 266272 324519 391872 399408 432692 532544 649038 798816 865384 1298076 1597632 1730768 2596152 3461536 5192304 6923072 10384608 20769216