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1531299420 = 2232577611597
BaseRepresentation
bin101101101000101…
…1100011001011100
310221201102001220100
41123101130121130
511114003040140
6411541021100
752642554540
oct13321343134
93851361810
101531299420
11716418a12
123689b4790
131b5330841
1410752da20
158e67d530
hex5b45c65c

1531299420 has 144 divisors (see below), whose sum is σ = 5318808768. Its totient is φ = 349332480.

The previous prime is 1531299403. The next prime is 1531299421. The reversal of 1531299420 is 249921351.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1531299421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958062 + ... + 959658.

It is an arithmetic number, because the mean of its divisors is an integer number (36936172).

Almost surely, 21531299420 is an apocalyptic number.

1531299420 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 1531299420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659404384).

1531299420 is an abundant number, since it is smaller than the sum of its proper divisors (3787509348).

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

1531299420 is a wasteful number, since it uses less digits than its factorization.

1531299420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1531299420 is about 39131.8210667482. The cubic root of 1531299420 is about 1152.6214727594.

The spelling of 1531299420 in words is "one billion, five hundred thirty-one million, two hundred ninety-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 761 1260 1522 1597 2283 3044 3194 3805 4566 4791 5327 6388 6849 7610 7985 9132 9582 10654 11179 11415 13698 14373 15220 15970 15981 19164 21308 22358 22830 23955 26635 27396 28746 31940 31962 33537 34245 44716 45660 47910 47943 53270 55895 57492 63924 67074 68490 71865 79905 95820 95886 100611 106540 111790 134148 136980 143730 159810 167685 191772 201222 223580 239715 287460 319620 335370 402444 479430 503055 670740 958860 1006110 1215317 2012220 2430634 3645951 4861268 6076585 7291902 8507219 10937853 12153170 14583804 17014438 18229755 21875706 24306340 25521657 34028876 36459510 42536095 43751412 51043314 54689265 72919020 76564971 85072190 102086628 109378530 127608285 153129942 170144380 218757060 255216570 306259884 382824855 510433140 765649710 1531299420