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7540195740 = 223571171127181
BaseRepresentation
bin1110000010110111…
…00100000110011100
3201110111012122000220
413001123210012130
5110420242230430
63244112321340
7354565414650
oct70133440634
921414178026
107540195740
11321a275730
121565243250
139321c29ac
145175b6a60
152e1e72110
hex1c16e419c

7540195740 has 384 divisors, whose sum is σ = 27051687936. Its totient is φ = 1524096000.

The previous prime is 7540195739. The next prime is 7540195763. The reversal of 7540195740 is 475910457.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7540195692 and 7540195701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41658450 + ... + 41658630.

It is an arithmetic number, because the mean of its divisors is an integer number (70447104).

Almost surely, 27540195740 is an apocalyptic number.

7540195740 is a gapful number since it is divisible by the number (70) 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 7540195740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13525843968).

7540195740 is an abundant number, since it is smaller than the sum of its proper divisors (19511492196).

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

7540195740 is a wasteful number, since it uses less digits than its factorization.

7540195740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 7540195740 is about 86834.3004808584. The cubic root of 7540195740 is about 1960.9245031184.

The spelling of 7540195740 in words is "seven billion, five hundred forty million, one hundred ninety-five thousand, seven hundred forty".