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1230542040 = 2335713112687
BaseRepresentation
bin100100101011000…
…1001010011011000
310011202111000100010
41021112021103120
510010004321130
6322034441520
742331302060
oct11126112330
93152430303
101230542040
115816774a2
122a41332a0
13167c290b0
14b96003a0
15730700b0
hex495894d8

1230542040 has 128 divisors (see below), whose sum is σ = 4543580160. Its totient is φ = 259628544.

The previous prime is 1230541987. The next prime is 1230542077. The reversal of 1230542040 is 402450321.

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 = 1230541998 and 1230542016.

It is a congruent number.

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, 45424 + ... + 67263.

It is an arithmetic number, because the mean of its divisors is an integer number (35496720).

Almost surely, 21230542040 is an apocalyptic number.

1230542040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230542040 is an abundant number, since it is smaller than the sum of its proper divisors (3313038120).

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

1230542040 is a wasteful number, since it uses less digits than its factorization.

1230542040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112721 (or 112717 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1230542040 is about 35079.0826561927. The cubic root of 1230542040 is about 1071.5986352018.

Adding to 1230542040 its reverse (402450321), we get a palindrome (1632992361).

It can be divided in two parts, 12305 and 42040, that added together give a palindrome (54345).

The spelling of 1230542040 in words is "one billion, two hundred thirty million, five hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 112687 225374 338061 450748 563435 676122 788809 901496 1126870 1352244 1464931 1577618 1690305 2253740 2366427 2704488 2929862 3155236 3380610 3944045 4394793 4507480 4732854 5859724 6310472 6761220 7324655 7888090 8789586 9465708 10254517 11719448 11832135 13522440 14649310 15776180 17579172 18931416 20509034 21973965 23664270 29298620 30763551 31552360 35158344 41018068 43947930 47328540 51272585 58597240 61527102 82036136 87895860 94657080 102545170 123054204 153817755 175791720 205090340 246108408 307635510 410180680 615271020 1230542040