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2032135020 = 223357153003
BaseRepresentation
bin111100100011111…
…1110101101101100
312020121211011012000
41321013332231230
513130211310040
6533351412300
7101233601616
oct17107765554
95217734160
102032135020
119530a6133
12488684090
13265019076
14153c61db6
15bd60e130
hex791feb6c

2032135020 has 96 divisors (see below), whose sum is σ = 6411363840. Its totient is φ = 534260160.

The previous prime is 2032135003. The next prime is 2032135043. The reversal of 2032135020 is 205312302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2032134984 and 2032135002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11839 + ... + 64841.

It is an arithmetic number, because the mean of its divisors is an integer number (66785040).

Almost surely, 22032135020 is an apocalyptic number.

2032135020 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 2032135020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205681920).

2032135020 is an abundant number, since it is smaller than the sum of its proper divisors (4379228820).

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

2032135020 is a wasteful number, since it uses less digits than its factorization.

2032135020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53092 (or 53084 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2032135020 is about 45079.2082894099. The cubic root of 2032135020 is about 1266.6331596246.

Adding to 2032135020 its reverse (205312302), we get a palindrome (2237447322).

The spelling of 2032135020 in words is "two billion, thirty-two million, one hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 3195 3834 4260 6390 7668 9585 12780 19170 38340 53003 106006 159009 212012 265015 318018 477027 530030 636036 795045 954054 1060060 1431081 1590090 1908108 2385135 2862162 3180180 3763213 4770270 5724324 7155405 7526426 9540540 11289639 14310810 15052852 18816065 22579278 28621620 33868917 37632130 45158556 56448195 67737834 75264260 101606751 112896390 135475668 169344585 203213502 225792780 338689170 406427004 508033755 677378340 1016067510 2032135020