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1549031040 = 2734529881
BaseRepresentation
bin101110001010100…
…0101011010000000
310222221202221010000
41130111011122000
511133022443130
6413413040000
753246355324
oct13425053200
93887687100
101549031040
11725429a47
12372926000
131b8bcb61b
14109a27984
1590ed2260
hex5c545680

1549031040 has 160 divisors (see below), whose sum is σ = 5532054660. Its totient is φ = 413061120.

The previous prime is 1549031039. The next prime is 1549031051. The reversal of 1549031040 is 401309451.

It can be written as a sum of positive squares in 2 ways, for example, as 1417974336 + 131056704 = 37656^2 + 11448^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1549030995 and 1549031013.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36900 + ... + 66780.

Almost surely, 21549031040 is an apocalyptic number.

1549031040 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 1549031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766027330).

1549031040 is an abundant number, since it is smaller than the sum of its proper divisors (3983023620).

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

1549031040 is an equidigital number, since it uses as much as digits as its factorization.

1549031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29912 (or 29891 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1549031040 is about 39357.7316419531. The cubic root of 1549031040 is about 1157.0533217025.

The spelling of 1549031040 in words is "one billion, five hundred forty-nine million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 29881 51840 59762 89643 119524 149405 179286 239048 268929 298810 358572 448215 478096 537858 597620 717144 806787 896430 956192 1075716 1195240 1344645 1434288 1613574 1792860 1912384 2151432 2390480 2420361 2689290 2868576 3227148 3585720 3824768 4033935 4302864 4780960 4840722 5378580 5737152 6454296 7171440 8067870 8605728 9561920 9681444 10757160 11474304 12101805 12908592 14342880 16135740 17211456 19123840 19362888 21514320 24203610 25817184 28685760 32271480 34422912 38725776 43028640 48407220 51634368 57371520 64542960 77451552 86057280 96814440 103268736 129085920 154903104 172114560 193628880 258171840 309806208 387257760 516343680 774515520 1549031040