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2500020420 = 2235233158439
BaseRepresentation
bin1001010100000011…
…0100100011000100
320110020020012021220
42111000310203010
520110001123140
61052024040340
7115644552162
oct22500644304
96406205256
102500020420
111073218387
125993030b0
1330ac38831
1419a058232
15e9731bd0
hex950348c4

2500020420 has 96 divisors (see below), whose sum is σ = 7540162560. Its totient is φ = 617105280.

The previous prime is 2500020359. The next prime is 2500020427. The reversal of 2500020420 is 240200052.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2500020420.

It is not an unprimeable number, because it can be changed into a prime (2500020427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13561 + ... + 71999.

It is an arithmetic number, because the mean of its divisors is an integer number (78543360).

Almost surely, 22500020420 is an apocalyptic number.

2500020420 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 2500020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770081280).

2500020420 is an abundant number, since it is smaller than the sum of its proper divisors (5040142140).

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

2500020420 is a wasteful number, since it uses less digits than its factorization.

2500020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58505 (or 58503 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2500020420 is about 50000.2041995830. The cubic root of 2500020420 is about 1357.2125035146.

Adding to 2500020420 its reverse (240200052), we get a palindrome (2740220472).

The spelling of 2500020420 in words is "two billion, five hundred million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 620 690 713 930 1380 1426 1860 2139 2852 3565 4278 7130 8556 10695 14260 21390 42780 58439 116878 175317 233756 292195 350634 584390 701268 876585 1168780 1344097 1753170 1811609 2688194 3506340 3623218 4032291 5376388 5434827 6720485 7246436 8064582 9058045 10869654 13440970 16129164 18116090 20161455 21739308 26881940 27174135 36232180 40322910 41667007 54348270 80645820 83334014 108696540 125001021 166668028 208335035 250002042 416670070 500004084 625005105 833340140 1250010210 2500020420