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2061371400 = 2335211537183
BaseRepresentation
bin111101011011110…
…0000100000001000
312022122211111221220
41322313200200020
513210202341100
6540314202040
7102040240104
oct17267404010
95278744856
102061371400
11968654930
12496423320
1326b0b45ba
14157ab2904
15c0e86aa0
hex7ade0808

2061371400 has 384 divisors, whose sum is σ = 7289533440. Its totient is φ = 477568000.

The previous prime is 2061371383. The next prime is 2061371401. The reversal of 2061371400 is 41731602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2061371401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24835759 + ... + 24835841.

It is an arithmetic number, because the mean of its divisors is an integer number (18983160).

Almost surely, 22061371400 is an apocalyptic number.

2061371400 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 2061371400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644766720).

2061371400 is an abundant number, since it is smaller than the sum of its proper divisors (5228162040).

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

2061371400 is a wasteful number, since it uses less digits than its factorization.

2061371400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2061371400 is about 45402.3281341387. The cubic root of 2061371400 is about 1272.6786211149.

The spelling of 2061371400 in words is "two billion, sixty-one million, three hundred seventy-one thousand, four hundred".