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3200140420 = 2252373157607
BaseRepresentation
bin1011111010111110…
…0100010010000100
322021000121222101021
42332233210102010
523023213443140
61245314040524
7142205513311
oct27657442204
98230558337
103200140420
1113a2439954
12753879144
133bccba719
14225023d08
1513ae29b4a
hexbebe4484

3200140420 has 96 divisors (see below), whose sum is σ = 7165605888. Its totient is φ = 1197960192.

The previous prime is 3200140409. The next prime is 3200140421. The reversal of 3200140420 is 240410023.

3200140420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3200140394 and 3200140403.

It is not an unprimeable number, because it can be changed into a prime (3200140421) 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, 5271757 + ... + 5272363.

It is an arithmetic number, because the mean of its divisors is an integer number (74641728).

Almost surely, 23200140420 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 3200140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582802944).

3200140420 is an abundant number, since it is smaller than the sum of its proper divisors (3965465468).

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

3200140420 is a wasteful number, since it uses less digits than its factorization.

3200140420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3200140420 is about 56569.7836304860. The cubic root of 3200140420 is about 1473.6341537952.

Adding to 3200140420 its reverse (240410023), we get a palindrome (3440550443).

The spelling of 3200140420 in words is "three billion, two hundred million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 157 230 292 314 365 460 607 628 730 785 1214 1460 1570 1679 2428 3035 3140 3358 3611 6070 6716 7222 8395 11461 12140 13961 14444 16790 18055 22922 27922 33580 36110 44311 45844 55844 57305 69805 72220 88622 95299 114610 139610 177244 190598 221555 229220 263603 279220 381196 443110 476495 527206 886220 952990 1019153 1054412 1318015 1905980 2038306 2191877 2636030 4076612 4383754 5095765 5272060 6956827 8767508 10191530 10959385 13913654 20383060 21918770 27827308 34784135 43837540 69568270 139136540 160007021 320014042 640028084 800035105 1600070210 3200140420