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20896704 = 263429139
BaseRepresentation
bin100111110110…
…1101111000000
31110022122220000
41033231233000
520322143304
62023520000
7342422223
oct117555700
943278800
1020896704
1110883004
126bb9000
13443861a
142abd5ba
151c7b939
hex13edbc0

20896704 has 140 divisors (see below), whose sum is σ = 64541400. Its totient is φ = 6676992.

The previous prime is 20896693. The next prime is 20896721. The reversal of 20896704 is 40769802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150267 + ... + 150405.

It is an arithmetic number, because the mean of its divisors is an integer number (461010).

Almost surely, 220896704 is an apocalyptic number.

20896704 is a gapful number since it is divisible by the number (24) 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 20896704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32270700).

20896704 is an abundant number, since it is smaller than the sum of its proper divisors (43644696).

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

20896704 is a wasteful number, since it uses less digits than its factorization.

20896704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20896704 is about 4571.2912836528. The cubic root of 20896704 is about 275.4393154460.

The spelling of 20896704 in words is "twenty million, eight hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 139 144 162 174 192 216 232 261 278 288 324 348 417 432 464 522 556 576 648 696 783 834 864 928 1044 1112 1251 1296 1392 1566 1668 1728 1856 2088 2224 2349 2502 2592 2784 3132 3336 3753 4031 4176 4448 4698 5004 5184 5568 6264 6672 7506 8062 8352 8896 9396 10008 11259 12093 12528 13344 15012 16124 16704 18792 20016 22518 24186 25056 26688 30024 32248 36279 37584 40032 45036 48372 50112 60048 64496 72558 75168 80064 90072 96744 108837 120096 128992 145116 150336 180144 193488 217674 240192 257984 290232 326511 360288 386976 435348 580464 653022 720576 773952 870696 1160928 1306044 1741392 2321856 2612088 3482784 5224176 6965568 10448352 20896704