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1427135240 = 2352953139167
BaseRepresentation
bin101010100010000…
…0101101100001000
310200110101222111202
41111010011230020
510410321311430
6353340243332
750236310066
oct12504055410
93613358452
101427135240
11672642913
12339b40548
1319988c82b
14d7777036
1585454d45
hex55105b08

1427135240 has 128 divisors (see below), whose sum is σ = 3429216000. Its totient is φ = 533664768.

The previous prime is 1427135209. The next prime is 1427135267. The reversal of 1427135240 is 425317241.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 8545637 + ... + 8545803.

It is an arithmetic number, because the mean of its divisors is an integer number (26790750).

Almost surely, 21427135240 is an apocalyptic number.

1427135240 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 1427135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714608000).

1427135240 is an abundant number, since it is smaller than the sum of its proper divisors (2002080760).

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

1427135240 is a wasteful number, since it uses less digits than its factorization.

1427135240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 1427135240 is about 37777.4435344691. The cubic root of 1427135240 is about 1125.8703362182.

The spelling of 1427135240 in words is "one billion, four hundred twenty-seven million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 139 145 167 212 232 265 278 290 334 424 530 556 580 668 695 835 1060 1112 1160 1336 1390 1537 1670 2120 2780 3074 3340 4031 4843 5560 6148 6680 7367 7685 8062 8851 9686 12296 14734 15370 16124 17702 19372 20155 23213 24215 29468 30740 32248 35404 36835 38744 40310 44255 46426 48430 58936 61480 70808 73670 80620 88510 92852 96860 116065 147340 161240 177020 185704 193720 213643 232130 256679 294680 354040 427286 464260 513358 673177 854572 928520 1026716 1068215 1230289 1283395 1346354 1709144 2053432 2136430 2460578 2566790 2692708 3365885 4272860 4921156 5133580 5385416 6151445 6731770 8545720 9842312 10267160 12302890 13463540 24605780 26927080 35678381 49211560 71356762 142713524 178391905 285427048 356783810 713567620 1427135240