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3987453420 = 22345231031039
BaseRepresentation
bin1110110110101011…
…1011010111101100
3101021220002121210000
43231222323113230
531131242002140
61455400544300
7200545536426
oct35552732754
911256077700
103987453420
1117668a4855
12933482090
134b714a9c2
1429b809816
151850e7a30
hexedabb5ec

3987453420 has 240 divisors, whose sum is σ = 13192058880. Its totient is φ = 1006245504.

The previous prime is 3987453413. The next prime is 3987453427. The reversal of 3987453420 is 243547893.

3987453420 is a `hidden beast` number, since 3 + 98 + 7 + 4 + 534 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3987453413) and next prime (3987453427).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3987453427) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3837261 + ... + 3838299.

It is an arithmetic number, because the mean of its divisors is an integer number (54966912).

Almost surely, 23987453420 is an apocalyptic number.

3987453420 is a gapful number since it is divisible by the number (30) 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 3987453420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596029440).

3987453420 is an abundant number, since it is smaller than the sum of its proper divisors (9204605460).

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

3987453420 is a wasteful number, since it uses less digits than its factorization.

3987453420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3987453420 is about 63146.2858765264. The cubic root of 3987453420 is about 1585.7396091124.

The spelling of 3987453420 in words is "three billion, nine hundred eighty-seven million, four hundred fifty-three thousand, four hundred twenty".