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1426136340 = 2235127211887
BaseRepresentation
bin101010100000001…
…0001110100010100
310200101112020021110
41111000101310110
510410042330330
6353303015020
750224646616
oct12500216424
93611466243
101426136340
11672020382
1233973a470
131995ccc75
14d7596db6
1585308db0
hex55011d14

1426136340 has 96 divisors (see below), whose sum is σ = 4048257024. Its totient is φ = 375096960.

The previous prime is 1426136329. The next prime is 1426136357. The reversal of 1426136340 is 436316241.

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 = 1426136298 and 1426136307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1607377 + ... + 1608263.

It is an arithmetic number, because the mean of its divisors is an integer number (42169344).

Almost surely, 21426136340 is an apocalyptic number.

1426136340 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 1426136340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024128512).

1426136340 is an abundant number, since it is smaller than the sum of its proper divisors (2622120684).

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

1426136340 is a wasteful number, since it uses less digits than its factorization.

1426136340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1426136340 is about 37764.2203679621. The cubic root of 1426136340 is about 1125.6075967247.

The spelling of 1426136340 in words is "one billion, four hundred twenty-six million, one hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 211 254 381 422 508 633 635 762 844 887 1055 1266 1270 1524 1774 1905 2110 2532 2540 2661 3165 3548 3810 4220 4435 5322 6330 7620 8870 10644 12660 13305 17740 26610 26797 53220 53594 80391 107188 112649 133985 160782 187157 225298 267970 321564 337947 374314 401955 450596 535940 561471 563245 675894 748628 803910 935785 1122942 1126490 1351788 1607820 1689735 1871570 2245884 2252980 2807355 3379470 3743140 5614710 6758940 11229420 23768939 47537878 71306817 95075756 118844695 142613634 237689390 285227268 356534085 475378780 713068170 1426136340