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1435464420 = 2235134574027
BaseRepresentation
bin101010110001111…
…0111001011100100
310201001002010222220
41111203313023210
510414434330140
6354234552340
750400150315
oct12543671344
93631063886
101435464420
11677311735
123408986b0
1319b517a40
14d890460c
158604cbd0
hex558f72e4

1435464420 has 96 divisors (see below), whose sum is σ = 4339026048. Its totient is φ = 352484352.

The previous prime is 1435464409. The next prime is 1435464473. The reversal of 1435464420 is 244645341.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354447 + ... + 358473.

It is an arithmetic number, because the mean of its divisors is an integer number (45198188).

Almost surely, 21435464420 is an apocalyptic number.

1435464420 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 1435464420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169513024).

1435464420 is an abundant number, since it is smaller than the sum of its proper divisors (2903561628).

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

1435464420 is a wasteful number, since it uses less digits than its factorization.

1435464420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 1435464420 is about 37887.5232761393. The cubic root of 1435464420 is about 1128.0563921055.

The spelling of 1435464420 in words is "one billion, four hundred thirty-five million, four hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 457 780 914 1371 1828 2285 2742 4027 4570 5484 5941 6855 8054 9140 11882 12081 13710 16108 17823 20135 23764 24162 27420 29705 35646 40270 48324 52351 59410 60405 71292 80540 89115 104702 118820 120810 157053 178230 209404 241620 261755 314106 356460 523510 628212 785265 1047020 1570530 1840339 3141060 3680678 5521017 7361356 9201695 11042034 18403390 22084068 23924407 27605085 36806780 47848814 55210170 71773221 95697628 110420340 119622035 143546442 239244070 287092884 358866105 478488140 717732210 1435464420