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20504952 = 233213191153
BaseRepresentation
bin100111000111…
…0000101111000
31102120202111200
41032032011320
520222124302
62011254200
7336201126
oct116160570
942522450
1020504952
1110635746
126a4a360
13432c210
142a1a916
151c0081c
hex138e178

20504952 has 96 divisors (see below), whose sum is σ = 63008400. Its totient is φ = 5971968.

The previous prime is 20504923. The next prime is 20504959. The reversal of 20504952 is 25940502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20504959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17208 + ... + 18360.

Almost surely, 220504952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20504952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31504200).

20504952 is an abundant number, since it is smaller than the sum of its proper divisors (42503448).

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

20504952 is a wasteful number, since it uses less digits than its factorization.

20504952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 20504952 is about 4528.2393929650. The cubic root of 20504952 is about 273.7072191857.

The spelling of 20504952 in words is "twenty million, five hundred four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1153 1368 1482 1976 2223 2306 2964 3459 4446 4612 5928 6918 8892 9224 10377 13836 14989 17784 20754 21907 27672 29978 41508 43814 44967 59956 65721 83016 87628 89934 119912 131442 134901 175256 179868 197163 262884 269802 284791 359736 394326 525768 539604 569582 788652 854373 1079208 1139164 1577304 1708746 2278328 2563119 3417492 5126238 6834984 10252476 20504952