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2433132020 = 2251119709821
BaseRepresentation
bin1001000100000110…
…1010010111110100
320021120100220122202
42101001222113310
514440340211040
61041234244032
7114203165234
oct22101522764
96246326582
102433132020
111039492110
1257aa26618
132ca1193b7
14191205cc4
15e391d015
hex9106a5f4

2433132020 has 96 divisors (see below), whose sum is σ = 5882889600. Its totient is φ = 836006400.

The previous prime is 2433132019. The next prime is 2433132047. The reversal of 2433132020 is 202313342.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2433131983 and 2433132001.

It is a congruent number.

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, 2963210 + ... + 2964030.

It is an arithmetic number, because the mean of its divisors is an integer number (61280100).

Almost surely, 22433132020 is an apocalyptic number.

2433132020 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 2433132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941444800).

2433132020 is an abundant number, since it is smaller than the sum of its proper divisors (3449757580).

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

2433132020 is a wasteful number, since it uses less digits than its factorization.

2433132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2433132020 is about 49326.7880567953. The cubic root of 2433132020 is about 1344.9987829529.

2433132020 divided by its sum of digits (20) gives a triangular number (121656601 = T15598).

Adding to 2433132020 its reverse (202313342), we get a palindrome (2635445362).

The spelling of 2433132020 in words is "two billion, four hundred thirty-three million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 709 821 836 1045 1418 1642 2090 2836 3284 3545 4105 4180 7090 7799 8210 9031 13471 14180 15598 15599 16420 18062 26942 31196 31198 36124 38995 45155 53884 62396 67355 77990 77995 90310 134710 148181 155980 155990 171589 180620 269420 296362 311980 343178 582089 592724 686356 740905 857945 1164178 1481810 1715890 2328356 2910445 2963620 3431780 5820890 6402979 11059691 11641780 12805958 22119382 25611916 32014895 44238764 55298455 64029790 110596910 121656601 128059580 221193820 243313202 486626404 608283005 1216566010 2433132020