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20152860 = 22357133691
BaseRepresentation
bin100110011100…
…0001000011100
31101220212112020
41030320020130
520124342420
61555540140
7333203460
oct114701034
941825466
1020152860
1110415162
1268ba650
134237b90
1429684a0
151b81340
hex133821c

20152860 has 96 divisors (see below), whose sum is σ = 69468672. Its totient is φ = 4250880.

The previous prime is 20152841. The next prime is 20152861. The reversal of 20152860 is 6825102.

It is a super-2 number, since 2×201528602 = 812275532359200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20152860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20152861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3615 + ... + 7305.

It is an arithmetic number, because the mean of its divisors is an integer number (723632).

Almost surely, 220152860 is an apocalyptic number.

20152860 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 20152860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34734336).

20152860 is an abundant number, since it is smaller than the sum of its proper divisors (49315812).

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

20152860 is a wasteful number, since it uses less digits than its factorization.

20152860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 20152860 is about 4489.1936915219. The cubic root of 20152860 is about 272.1315504092.

Adding to 20152860 its reverse (6825102), we get a palindrome (26977962).

It can be divided in two parts, 20152 and 860, that added together give a palindrome (21012).

The spelling of 20152860 in words is "twenty million, one hundred fifty-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 3691 5460 7382 11073 14764 18455 22146 25837 36910 44292 47983 51674 55365 73820 77511 95966 103348 110730 129185 143949 155022 191932 221460 239915 258370 287898 310044 335881 387555 479830 516740 575796 671762 719745 775110 959660 1007643 1343524 1439490 1550220 1679405 2015286 2878980 3358810 4030572 5038215 6717620 10076430 20152860