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1980420240 = 24358251751
BaseRepresentation
bin111011000001010…
…1101000010010000
312010000111202211210
41312002231002100
513023441421430
6524303140120
7100035202641
oct16602550220
95100452753
101980420240
11926994047
124732a4640
132573b02c6
1414b03d6c8
15b8ce62b0
hex760ad090

1980420240 has 40 divisors (see below), whose sum is σ = 6139303488. Its totient is φ = 528112000.

The previous prime is 1980420209. The next prime is 1980420263. The reversal of 1980420240 is 420240891.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1980420198 and 1980420207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4125636 + ... + 4126115.

Almost surely, 21980420240 is an apocalyptic number.

1980420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1980420240 is an abundant number, since it is smaller than the sum of its proper divisors (4158883248).

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

1980420240 is a wasteful number, since it uses less digits than its factorization.

1980420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251767 (or 8251761 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1980420240 is about 44501.9127678800. The cubic root of 1980420240 is about 1255.7960674755.

The spelling of 1980420240 in words is "one billion, nine hundred eighty million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8251751 16503502 24755253 33007004 41258755 49510506 66014008 82517510 99021012 123776265 132028016 165035020 198042024 247552530 330070040 396084048 495105060 660140080 990210120 1980420240