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1426516280 = 235741313397
BaseRepresentation
bin101010100000110…
…1110100100111000
310200102020112110022
41111001232210320
510410142010110
6353315110012
750231121410
oct12501564470
93612215408
101426516280
1167225a882
123398a2308
13199703b97
14d7655640
1585381755
hex5506e938

1426516280 has 128 divisors (see below), whose sum is σ = 3779153280. Its totient is φ = 474439680.

The previous prime is 1426516249. The next prime is 1426516313. The reversal of 1426516280 is 826156241.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1426516280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3593042 + ... + 3593438.

It is an arithmetic number, because the mean of its divisors is an integer number (29524635).

Almost surely, 21426516280 is an apocalyptic number.

1426516280 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 1426516280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889576640).

1426516280 is an abundant number, since it is smaller than the sum of its proper divisors (2352637000).

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

1426516280 is a wasteful number, since it uses less digits than its factorization.

1426516280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 1426516280 is about 37769.2504558933. The cubic root of 1426516280 is about 1125.7075463498.

The spelling of 1426516280 in words is "one billion, four hundred twenty-six million, five hundred sixteen thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 313 328 397 410 574 626 794 820 1148 1252 1435 1565 1588 1640 1985 2191 2296 2504 2779 2870 3130 3176 3970 4382 5558 5740 6260 7940 8764 10955 11116 11480 12520 12833 13895 15880 16277 17528 21910 22232 25666 27790 32554 43820 51332 55580 64165 65108 81385 87640 89831 102664 111160 113939 124261 128330 130216 162770 179662 227878 248522 256660 325540 359324 449155 455756 497044 513320 569695 621305 651080 718648 869827 898310 911512 994088 1139390 1242610 1739654 1796620 2278780 2485220 3479308 3593240 4349135 4557560 4970440 5094701 6958616 8698270 10189402 17396540 20378804 25473505 34793080 35662907 40757608 50947010 71325814 101894020 142651628 178314535 203788040 285303256 356629070 713258140 1426516280