Search a number
-
+
1997021952 = 2834193499
BaseRepresentation
bin111011100001000…
…0010001100000000
312011011202020010000
41313002002030000
513042214200302
6530055040000
7100326256302
oct16702021400
95134666100
101997021952
119352a3172
12478970000
1325a9739c3
1414d321972
15ba4c531c
hex77082300

1997021952 has 180 divisors, whose sum is σ = 5997607000. Its totient is φ = 660897792.

The previous prime is 1997021951. The next prime is 1997021981. The reversal of 1997021952 is 2591207991.

It is a junction number, because it is equal to n+sod(n) for n = 1997021898 and 1997021907.

It is not an unprimeable number, because it can be changed into a prime (1997021951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4001799 + ... + 4002297.

Almost surely, 21997021952 is an apocalyptic number.

1997021952 is a gapful number since it is divisible by the number (12) 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 1997021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998803500).

1997021952 is an abundant number, since it is smaller than the sum of its proper divisors (4000585048).

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

1997021952 is an equidigital number, since it uses as much as digits as its factorization.

1997021952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 1997021952 is about 44688.0515574353. The cubic root of 1997021952 is about 1259.2953883566.

The spelling of 1997021952 in words is "one billion, nine hundred ninety-seven million, twenty-one thousand, nine hundred fifty-two".