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1980556440 = 233517970861
BaseRepresentation
bin111011000001100…
…1110010010011000
312010000202200200020
41312003032102120
513024010301230
6524310110440
7100036311012
oct16603162230
95100680606
101980556440
11926a77405
1247334b420
1325742a2b5
1414b0771b2
15b8d21810
hex760ce498

1980556440 has 64 divisors (see below), whose sum is σ = 6291185760. Its totient is φ = 497080320.

The previous prime is 1980556399. The next prime is 1980556451. The reversal of 1980556440 is 446550891.

It is a junction number, because it is equal to n+sod(n) for n = 1980556392 and 1980556401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483391 + ... + 487470.

Almost surely, 21980556440 is an apocalyptic number.

1980556440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1980556440 is an abundant number, since it is smaller than the sum of its proper divisors (4310629320).

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

1980556440 is a wasteful number, since it uses less digits than its factorization.

1980556440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970892 (or 970888 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1980556440 is about 44503.4430128726. The cubic root of 1980556440 is about 1255.8248552213.

It can be divided in two parts, 19805 and 56440, that added together give a triangular number (76245 = T390).

The spelling of 1980556440 in words is "one billion, nine hundred eighty million, five hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 970861 1941722 2912583 3883444 4854305 5825166 7766888 9708610 11650332 14562915 16504637 19417220 23300664 29125830 33009274 38834440 49513911 58251660 66018548 82523185 99027822 116503320 132037096 165046370 198055644 247569555 330092740 396111288 495139110 660185480 990278220 1980556440