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1980474144 = 253111875449
BaseRepresentation
bin111011000001011…
…1010001100100000
312010000121111210020
41312002322030200
513024000133034
6524304233440
7100035516045
oct16602721440
95100544706
101980474144
11926a205a0
1247330b880
132573cb9bc
1414b0551cc
15b8d07249
hex760ba320

1980474144 has 48 divisors (see below), whose sum is σ = 5671360800. Its totient is φ = 600143360.

The previous prime is 1980474131. The next prime is 1980474149. The reversal of 1980474144 is 4414740891.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1980474096 and 1980474105.

It is not an unprimeable number, because it can be changed into a prime (1980474149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 936669 + ... + 938780.

It is an arithmetic number, because the mean of its divisors is an integer number (118153350).

Almost surely, 21980474144 is an apocalyptic number.

It is an amenable number.

1980474144 is an abundant number, since it is smaller than the sum of its proper divisors (3690886656).

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

1980474144 is a wasteful number, since it uses less digits than its factorization.

1980474144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875473 (or 1875465 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1980474144 is about 44502.5184006478. The cubic root of 1980474144 is about 1255.8074609861.

The spelling of 1980474144 in words is "one billion, nine hundred eighty million, four hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1875449 3750898 5626347 7501796 11252694 15003592 20629939 22505388 30007184 41259878 45010776 60014368 61889817 82519756 90021552 123779634 165039512 180043104 247559268 330079024 495118536 660158048 990237072 1980474144