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2832420900 = 2235214296607
BaseRepresentation
bin1010100011010011…
…0101000000100100
321022101200220000210
42220310311000210
521300044432100
61145020335420
7130122115611
oct25064650044
97271626023
102832420900
111223911821
126706a4570
13361a6c0ca
141cc263508
151189e0c50
hexa8d35024

2832420900 has 72 divisors (see below), whose sum is σ = 8202113920. Its totient is φ = 754669440.

The previous prime is 2832420893. The next prime is 2832420907. The reversal of 2832420900 is 90242382.

It is an interprime number because it is at equal distance from previous prime (2832420893) and next prime (2832420907).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2832420907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425397 + ... + 432003.

Almost surely, 22832420900 is an apocalyptic number.

2832420900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2832420900 is an abundant number, since it is smaller than the sum of its proper divisors (5369693020).

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

2832420900 is a wasteful number, since it uses less digits than its factorization.

2832420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8053 (or 8046 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2832420900 is about 53220.4932333401. The cubic root of 2832420900 is about 1414.8788785353.

The spelling of 2832420900 in words is "two billion, eight hundred thirty-two million, four hundred twenty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1429 2858 4287 5716 6607 7145 8574 13214 14290 17148 19821 21435 26428 28580 33035 35725 39642 42870 66070 71450 79284 85740 99105 107175 132140 142900 165175 198210 214350 330350 396420 428700 495525 660700 991050 1982100 9441403 18882806 28324209 37765612 47207015 56648418 94414030 113296836 141621045 188828060 236035075 283242090 472070150 566484180 708105225 944140300 1416210450 2832420900