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199376640 = 28355641
BaseRepresentation
bin10111110001000…
…11111100000000
3111220011101100000
423320203330000
5402020023030
631441200000
74640450001
oct1370437400
9456141300
10199376640
11a25a7691
1256930000
13323c9658
141c69d1a8
1512784860
hexbe23f00

199376640 has 216 divisors, whose sum is σ = 716487408. Its totient is φ = 53084160.

The previous prime is 199376603. The next prime is 199376647. The reversal of 199376640 is 46673991.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199376647) 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 23 ways as a sum of consecutive naturals, for example, 310720 + ... + 311360.

Almost surely, 2199376640 is an apocalyptic number.

199376640 is a gapful number since it is divisible by the number (10) 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 199376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358243704).

199376640 is an abundant number, since it is smaller than the sum of its proper divisors (517110768).

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

199376640 is an frugal number, since it uses more digits than its factorization.

199376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 199376640 is about 14120.0793198905. The cubic root of 199376640 is about 584.1953434215.

The spelling of 199376640 in words is "one hundred ninety-nine million, three hundred seventy-six thousand, six hundred forty".