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1534300040 = 2357133071373
BaseRepresentation
bin101101101110011…
…1000111110001000
310221221001111222102
41123130320332020
511120240100130
6412125212532
753010222650
oct13334707610
93857044872
101534300040
11718088369
12369a01148
131b5b41560
14107ab1360
158ea72645
hex5b738f88

1534300040 has 128 divisors (see below), whose sum is σ = 4265775360. Its totient is φ = 483646464.

The previous prime is 1534299967. The next prime is 1534300087. The reversal of 1534300040 is 400034351.

It is a super-2 number, since 2×15343000402 = 4708153225488003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1534299985 and 1534300021.

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, 1116794 + ... + 1118166.

It is an arithmetic number, because the mean of its divisors is an integer number (33326370).

Almost surely, 21534300040 is an apocalyptic number.

1534300040 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 1534300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132887680).

1534300040 is an abundant number, since it is smaller than the sum of its proper divisors (2731475320).

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

1534300040 is a wasteful number, since it uses less digits than its factorization.

1534300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1534300040 is about 39170.1422004057. The cubic root of 1534300040 is about 1153.3738451992.

Adding to 1534300040 its reverse (400034351), we get a palindrome (1934334391).

The spelling of 1534300040 in words is "one billion, five hundred thirty-four million, three hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 307 364 455 520 614 728 910 1228 1373 1535 1820 2149 2456 2746 3070 3640 3991 4298 5492 6140 6865 7982 8596 9611 10745 10984 12280 13730 15964 17192 17849 19222 19955 21490 27460 27937 31928 35698 38444 39910 42980 48055 54920 55874 71396 76888 79820 85960 89245 96110 111748 124943 139685 142792 159640 178490 192220 223496 249886 279370 356980 384440 421511 499772 558740 624715 713960 843022 999544 1117480 1249430 1686044 2107555 2498860 2950577 3372088 4215110 4997720 5479643 5901154 8430220 10959286 11802308 14752885 16860440 21918572 23604616 27398215 29505770 38357501 43837144 54796430 59011540 76715002 109592860 118023080 153430004 191787505 219185720 306860008 383575010 767150020 1534300040