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1282241980 = 225196750363
BaseRepresentation
bin100110001101101…
…0111010110111100
310022100202122022201
41030123113112330
510111223220410
6331122521244
743526606545
oct11433272674
93270678281
101282241980
115a8879418
122b9506224
1317585b186
14c241b4cc
157788383a
hex4c6d75bc

1282241980 has 48 divisors (see below), whose sum is σ = 2876791680. Its totient is φ = 478640448.

The previous prime is 1282241971. The next prime is 1282241981. The reversal of 1282241980 is 891422821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282241981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279 + ... + 50641.

It is an arithmetic number, because the mean of its divisors is an integer number (59933160).

Almost surely, 21282241980 is an apocalyptic number.

1282241980 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 1282241980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438395840).

1282241980 is an abundant number, since it is smaller than the sum of its proper divisors (1594549700).

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

1282241980 is a wasteful number, since it uses less digits than its factorization.

1282241980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50458 (or 50456 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 1282241980 is about 35808.4065548860. The cubic root of 1282241980 is about 1086.4006008410.

The spelling of 1282241980 in words is "one billion, two hundred eighty-two million, two hundred forty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 670 1273 1340 2546 5092 6365 12730 25460 50363 100726 201452 251815 503630 956897 1007260 1913794 3374321 3827588 4784485 6748642 9568970 13497284 16871605 19137940 33743210 64112099 67486420 128224198 256448396 320560495 641120990 1282241980