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1982940540 = 2235729712293
BaseRepresentation
bin111011000110001…
…0100010101111100
312010012020211001020
41312030110111330
513030113044130
6524433144140
7100065500520
oct16614242574
95105224036
101982940540
11928355639
124740bb050
13257a834c9
1414b4d7d80
15b9142e10
hex7631457c

1982940540 has 192 divisors, whose sum is σ = 6659573760. Its totient is φ = 431262720.

The previous prime is 1982940521. The next prime is 1982940563. The reversal of 1982940540 is 450492891.

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 = 1982940492 and 1982940501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 863634 + ... + 865926.

It is an arithmetic number, because the mean of its divisors is an integer number (34685280).

Almost surely, 21982940540 is an apocalyptic number.

1982940540 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 1982940540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329786880).

1982940540 is an abundant number, since it is smaller than the sum of its proper divisors (4676633220).

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

1982940540 is a wasteful number, since it uses less digits than its factorization.

1982940540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1982940540 is about 44530.2205249424. The cubic root of 1982940540 is about 1256.3285539849.

The spelling of 1982940540 in words is "one billion, nine hundred eighty-two million, nine hundred forty thousand, five hundred forty".