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1426105320 = 2335431911447
BaseRepresentation
bin101010100000000…
…1010001111101000
310200101110122201120
41111000022033220
510410040332240
6353302215240
750224460313
oct12500121750
93611418646
101426105320
11671aaa042
12339724520
131995bbb03
14d758997a
15852eead0
hex5500a3e8

1426105320 has 128 divisors (see below), whose sum is σ = 4403773440. Its totient is φ = 369250560.

The previous prime is 1426105301. The next prime is 1426105327. The reversal of 1426105320 is 235016241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1426105327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984837 + ... + 986283.

It is an arithmetic number, because the mean of its divisors is an integer number (34404480).

Almost surely, 21426105320 is an apocalyptic number.

1426105320 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 1426105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201886720).

1426105320 is an abundant number, since it is smaller than the sum of its proper divisors (2977668120).

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

1426105320 is a wasteful number, since it uses less digits than its factorization.

1426105320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1426105320 is about 37763.8096595140. The cubic root of 1426105320 is about 1125.5994356067.

The spelling of 1426105320 in words is "one billion, four hundred twenty-six million, one hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 191 215 258 344 382 430 516 573 645 764 860 955 1032 1146 1290 1447 1528 1720 1910 2292 2580 2865 2894 3820 4341 4584 5160 5730 5788 7235 7640 8213 8682 11460 11576 14470 16426 17364 21705 22920 24639 28940 32852 34728 41065 43410 49278 57880 62221 65704 82130 86820 98556 123195 124442 164260 173640 186663 197112 246390 248884 276377 311105 328520 373326 492780 497768 552754 622210 746652 829131 933315 985560 1105508 1244420 1381885 1493304 1658262 1866630 2211016 2488840 2763770 3316524 3733260 4145655 5527540 6633048 7466520 8291310 11055080 11884211 16582620 23768422 33165240 35652633 47536844 59421055 71305266 95073688 118842110 142610532 178263165 237684220 285221064 356526330 475368440 713052660 1426105320