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1230353040 = 243571136481
BaseRepresentation
bin100100101010101…
…1011001010010000
310011202010102002010
41021111123022100
510004432244130
6322030422520
742326554050
oct11125331220
93152112063
101230353040
115815584a4
122a4061a40
13167b91067
14b9591560
15730340b0
hex4955b290

1230353040 has 160 divisors (see below), whose sum is σ = 4398218496. Its totient is φ = 278691840.

The previous prime is 1230353039. The next prime is 1230353071. The reversal of 1230353040 is 403530321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1230352998 and 1230353016.

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 31 ways as a sum of consecutive naturals, for example, 186600 + ... + 193080.

Almost surely, 21230353040 is an apocalyptic number.

1230353040 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 1230353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199109248).

1230353040 is an abundant number, since it is smaller than the sum of its proper divisors (3167865456).

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

1230353040 is a wasteful number, since it uses less digits than its factorization.

1230353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 1230353040 is about 35076.3886396533. The cubic root of 1230353040 is about 1071.5437698104.

Adding to 1230353040 its reverse (403530321), we get a palindrome (1633883361).

The spelling of 1230353040 in words is "one billion, two hundred thirty million, three hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 113 120 140 168 210 226 240 280 336 339 420 452 560 565 678 791 840 904 1130 1356 1582 1680 1695 1808 2260 2373 2712 3164 3390 3955 4520 4746 5424 6328 6481 6780 7910 9040 9492 11865 12656 12962 13560 15820 18984 19443 23730 25924 27120 31640 32405 37968 38886 45367 47460 51848 63280 64810 77772 90734 94920 97215 103696 129620 136101 155544 181468 189840 194430 226835 259240 272202 311088 362936 388860 453670 518480 544404 680505 725872 732353 777720 907340 1088808 1361010 1464706 1555440 1814680 2177616 2197059 2722020 2929412 3629360 3661765 4394118 5126471 5444040 5858824 7323530 8788236 10252942 10888080 10985295 11717648 14647060 15379413 17576472 20505884 21970590 25632355 29294120 30758826 35152944 41011768 43941180 51264710 58588240 61517652 76897065 82023536 87882360 102529420 123035304 153794130 175764720 205058840 246070608 307588260 410117680 615176520 1230353040