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2030405040 = 2432523122609
BaseRepresentation
bin111100100000101…
…1000010110110000
312020111120021002200
41321001120112300
513124240430130
6533250343200
7101213105136
oct17101302660
95214507080
102030405040
119521243a4
12487b8ab00
13264861801
14153931756
15bd3bb760
hex790585b0

2030405040 has 120 divisors (see below), whose sum is σ = 7115303520. Its totient is φ = 517896192.

The previous prime is 2030405023. The next prime is 2030405059. The reversal of 2030405040 is 405040302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44745 + ... + 77864.

It is an arithmetic number, because the mean of its divisors is an integer number (59294196).

Almost surely, 22030405040 is an apocalyptic number.

2030405040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2030405040 is an abundant number, since it is smaller than the sum of its proper divisors (5084898480).

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

2030405040 is a wasteful number, since it uses less digits than its factorization.

2030405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122651 (or 122642 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2030405040 is about 45060.0159786922. The cubic root of 2030405040 is about 1266.2736244365.

Adding to 2030405040 its reverse (405040302), we get a palindrome (2435445342).

The spelling of 2030405040 in words is "two billion, thirty million, four hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 122609 245218 367827 490436 613045 735654 980872 1103481 1226090 1471308 1839135 1961744 2206962 2452180 2820007 2942616 3678270 4413924 4904360 5517405 5640014 5885232 7356540 8460021 8827848 9808720 11034810 11280028 14100035 14713080 16920042 17655696 22069620 22560056 25380063 28200070 29426160 33840084 42300105 44139240 45120112 50760126 56400140 67680168 84600210 88278480 101520252 112800280 126900315 135360336 169200420 203040504 225600560 253800630 338400840 406081008 507601260 676801680 1015202520 2030405040