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1230143640 = 2335111019227
BaseRepresentation
bin100100101010010…
…1000000010011000
310011201201202211120
41021110220002120
510004404044030
6322022125240
742325022415
oct11124500230
93151652746
101230143640
11581425140
122a3b80820
13167b1995b
14b953910c
1572ee2010
hex49528098

1230143640 has 128 divisors (see below), whose sum is σ = 4066225920. Its totient is φ = 295232000.

The previous prime is 1230143639. The next prime is 1230143693. The reversal of 1230143640 is 463410321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1230143640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128707 + ... + 137933.

It is an arithmetic number, because the mean of its divisors is an integer number (31767390).

Almost surely, 21230143640 is an apocalyptic number.

1230143640 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 1230143640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033112960).

1230143640 is an abundant number, since it is smaller than the sum of its proper divisors (2836082280).

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

1230143640 is a wasteful number, since it uses less digits than its factorization.

1230143640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9353 (or 9349 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1230143640 is about 35073.4035987385. The cubic root of 1230143640 is about 1071.4829758787.

Adding to 1230143640 its reverse (463410321), we get a palindrome (1693553961).

The spelling of 1230143640 in words is "one billion, two hundred thirty million, one hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 9227 11110 12120 13332 16665 18454 22220 26664 27681 33330 36908 44440 46135 55362 66660 73816 92270 101497 110724 133320 138405 184540 202994 221448 276810 304491 369080 405988 507485 553620 608982 811976 931927 1014970 1107240 1217964 1522455 1863854 2029940 2435928 2795781 3044910 3727708 4059880 4659635 5591562 6089820 7455416 9319270 10251197 11183124 12179640 13978905 18638540 20502394 22366248 27957810 30753591 37277080 41004788 51255985 55915620 61507182 82009576 102511970 111831240 123014364 153767955 205023940 246028728 307535910 410047880 615071820 1230143640