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1992560640 = 21235741113
BaseRepresentation
bin111011011000100…
…0001000000000000
312010212100120100020
41312301001000000
513040043420030
6525415253440
7100243325460
oct16661010000
95125316306
101992560640
11932826334
1247737a280
13259a71185
1414c8bdba0
15b9de3510
hex76c41000

1992560640 has 416 divisors, whose sum is σ = 7529953536. Its totient is φ = 440401920.

The previous prime is 1992560639. The next prime is 1992560641. The reversal of 1992560640 is 460652991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1992560639) and next prime (1992560641).

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 = 1992560592 and 1992560601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992560641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17633224 + ... + 17633336.

Almost surely, 21992560640 is an apocalyptic number.

1992560640 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 1992560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764976768).

1992560640 is an abundant number, since it is smaller than the sum of its proper divisors (5537392896).

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

1992560640 is a wasteful number, since it uses less digits than its factorization.

1992560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1992560640 is about 44638.1074867652. The cubic root of 1992560640 is about 1258.3569412507.

The spelling of 1992560640 in words is "one billion, nine hundred ninety-two million, five hundred sixty thousand, six hundred forty".