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1930199376 = 2437223311151
BaseRepresentation
bin111001100001100…
…1000000101010000
311222112000021202210
41303003020011100
512423112340001
6515310512120
765555265300
oct16303100520
94875007683
101930199376
119006023a6
1245a505640
13249b78511
141444c9600
15b46c5dd6
hex730c8150

1930199376 has 240 divisors, whose sum is σ = 6253314048. Its totient is φ = 510048000.

The previous prime is 1930199347. The next prime is 1930199377. The reversal of 1930199376 is 6739910391.

It is a super-2 number, since 2×19301993762 = 7451339262221578752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930199377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1676401 + ... + 1677551.

Almost surely, 21930199376 is an apocalyptic number.

1930199376 is a gapful number since it is divisible by the number (16) 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 1930199376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126657024).

1930199376 is an abundant number, since it is smaller than the sum of its proper divisors (4323114672).

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

1930199376 is a wasteful number, since it uses less digits than its factorization.

1930199376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 48.

The square root of 1930199376 is about 43934.0343697230. The cubic root of 1930199376 is about 1245.0899385036.

The spelling of 1930199376 in words is "one billion, nine hundred thirty million, one hundred ninety-nine thousand, three hundred seventy-six".