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20046720 = 273553197
BaseRepresentation
bin100110001111…
…0001110000000
31101201110221010
41030132032000
520112443340
61553400520
7332252151
oct114361600
941643833
1020046720
1110352441
126869140
1341cb785
14293b928
151b5eb80
hex131e380

20046720 has 128 divisors (see below), whose sum is σ = 65435040. Its totient is φ = 5218304.

The previous prime is 20046707. The next prime is 20046727. The reversal of 20046720 is 2764002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20046727) 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, 101662 + ... + 101858.

Almost surely, 220046720 is an apocalyptic number.

20046720 is a gapful number since it is divisible by the number (20) 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 20046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32717520).

20046720 is an abundant number, since it is smaller than the sum of its proper divisors (45388320).

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

20046720 is a wasteful number, since it uses less digits than its factorization.

20046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20046720 is about 4477.3563628552. The cubic root of 20046720 is about 271.6529599434.

The spelling of 20046720 in words is "twenty million, forty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 128 159 160 192 197 212 240 265 318 320 384 394 424 480 530 591 636 640 788 795 848 960 985 1060 1182 1272 1576 1590 1696 1920 1970 2120 2364 2544 2955 3152 3180 3392 3940 4240 4728 5088 5910 6304 6360 6784 7880 8480 9456 10176 10441 11820 12608 12720 15760 16960 18912 20352 20882 23640 25216 25440 31323 31520 33920 37824 41764 47280 50880 52205 62646 63040 75648 83528 94560 101760 104410 125292 126080 156615 167056 189120 208820 250584 313230 334112 378240 417640 501168 626460 668224 835280 1002336 1252920 1336448 1670560 2004672 2505840 3341120 4009344 5011680 6682240 10023360 20046720