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1230275640 = 2335111675581
BaseRepresentation
bin100100101010100…
…1000010000111000
310011201222110220110
41021111020100320
510004422310030
6322025024320
742326112306
oct11125102070
93151873813
101230275640
11581505330
122a40250a0
13167b64a69
14b9571276
157301b1b0
hex49548438

1230275640 has 128 divisors (see below), whose sum is σ = 4051192320. Its totient is φ = 296409600.

The previous prime is 1230275617. The next prime is 1230275653. The reversal of 1230275640 is 465720321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1230275598 and 1230275607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217650 + ... + 223230.

It is an arithmetic number, because the mean of its divisors is an integer number (31649940).

Almost surely, 21230275640 is an apocalyptic number.

1230275640 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 1230275640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025596160).

1230275640 is an abundant number, since it is smaller than the sum of its proper divisors (2820916680).

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

1230275640 is a wasteful number, since it uses less digits than its factorization.

1230275640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1230275640 is about 35075.2853160170. The cubic root of 1230275640 is about 1071.5212995047.

Adding to 1230275640 its reverse (465720321), we get a palindrome (1695995961).

The spelling of 1230275640 in words is "one billion, two hundred thirty million, two hundred seventy-five 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 88 110 120 132 165 167 220 264 330 334 440 501 660 668 835 1002 1320 1336 1670 1837 2004 2505 3340 3674 4008 5010 5511 5581 6680 7348 9185 10020 11022 11162 14696 16743 18370 20040 22044 22324 27555 27905 33486 36740 44088 44648 55110 55810 61391 66972 73480 83715 110220 111620 122782 133944 167430 184173 220440 223240 245564 306955 334860 368346 491128 613910 669720 736692 920865 932027 1227820 1473384 1841730 1864054 2455640 2796081 3683460 3728108 4660135 5592162 7366920 7456216 9320270 10252297 11184324 13980405 18640540 20504594 22368648 27960810 30756891 37281080 41009188 51261485 55921620 61513782 82018376 102522970 111843240 123027564 153784455 205045940 246055128 307568910 410091880 615137820 1230275640