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1997934120 = 2333571329701
BaseRepresentation
bin111011100010110…
…0000111000101000
312011020110120101000
41313011200320220
513042432342440
6530130355000
7100340105550
oct16705407050
95136416330
101997934120
11935866526
1247912ba60
1325ac02c50
1414d4bc160
15ba605730
hex77160e28

1997934120 has 512 divisors, whose sum is σ = 8491392000. Its totient is φ = 406425600.

The previous prime is 1997934119. The next prime is 1997934131. The reversal of 1997934120 is 214397991.

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

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, 2849770 + ... + 2850470.

It is an arithmetic number, because the mean of its divisors is an integer number (16584750).

Almost surely, 21997934120 is an apocalyptic number.

1997934120 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 1997934120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

1997934120 is an abundant number, since it is smaller than the sum of its proper divisors (6493457880).

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

1997934120 is a wasteful number, since it uses less digits than its factorization.

1997934120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1997934120 is about 44698.2563418306. The cubic root of 1997934120 is about 1259.4870928269.

The spelling of 1997934120 in words is "one billion, nine hundred ninety-seven million, nine hundred thirty-four thousand, one hundred twenty".