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2423675400 = 2335219121149
BaseRepresentation
bin1001000001110110…
…0101101000001000
320020220120110121120
42100131211220020
514430430103100
61040255435240
7114026621016
oct22035455010
96226513546
102423675400
111034113223
12577825b20
132c8187c73
1418dc638b6
15e2ba10a0
hex90765a08

2423675400 has 96 divisors (see below), whose sum is σ = 7553088000. Its totient is φ = 642899200.

The previous prime is 2423675351. The next prime is 2423675407. The reversal of 2423675400 is 45763242.

It is not an unprimeable number, because it can be changed into a prime (2423675407) 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, 104026 + ... + 125174.

It is an arithmetic number, because the mean of its divisors is an integer number (78678000).

Almost surely, 22423675400 is an apocalyptic number.

2423675400 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 2423675400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776544000).

2423675400 is an abundant number, since it is smaller than the sum of its proper divisors (5129412600).

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

2423675400 is a wasteful number, since it uses less digits than its factorization.

2423675400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21359 (or 21350 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 2423675400 is about 49230.8378965867. The cubic root of 2423675400 is about 1343.2540281749.

The spelling of 2423675400 in words is "two billion, four hundred twenty-three million, six hundred seventy-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 191 200 300 382 573 600 764 955 1146 1528 1910 2292 2865 3820 4584 4775 5730 7640 9550 11460 14325 19100 21149 22920 28650 38200 42298 57300 63447 84596 105745 114600 126894 169192 211490 253788 317235 422980 507576 528725 634470 845960 1057450 1268940 1586175 2114900 2537880 3172350 4039459 4229800 6344700 8078918 12118377 12689400 16157836 20197295 24236754 32315672 40394590 48473508 60591885 80789180 96947016 100986475 121183770 161578360 201972950 242367540 302959425 403945900 484735080 605918850 807891800 1211837700 2423675400