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1230640290 = 234511592341
BaseRepresentation
bin100100101011010…
…0001010010100010
310011202200000010000
41021112201102202
510010020442130
6322040520430
742332161365
oct11126412242
93152600100
101230640290
115817342a0
122a4180116
13167c61a29
14b96280dc
157308e260
hex495a14a2

1230640290 has 160 divisors (see below), whose sum is σ = 3672630720. Its totient is φ = 293155200.

The previous prime is 1230640289. The next prime is 1230640357. The reversal of 1230640290 is 920460321.

1230640290 is a `hidden beast` number, since 12 + 3 + 0 + 640 + 2 + 9 + 0 = 666.

It is a super-4 number, since 4×12306402904 (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 524520 + ... + 526860.

It is an arithmetic number, because the mean of its divisors is an integer number (22953942).

Almost surely, 21230640290 is an apocalyptic number.

1230640290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230640290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836315360).

1230640290 is an abundant number, since it is smaller than the sum of its proper divisors (2441990430).

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

1230640290 is a wasteful number, since it uses less digits than its factorization.

1230640290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1230640290 is about 35080.4830354429. The cubic root of 1230640290 is about 1071.6271542773.

The spelling of 1230640290 in words is "one billion, two hundred thirty million, six hundred forty thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 59 66 81 90 99 110 118 135 162 165 177 198 270 295 297 330 354 405 495 531 590 594 649 810 885 891 990 1062 1298 1485 1593 1770 1782 1947 2341 2655 2970 3186 3245 3894 4455 4682 4779 5310 5841 6490 7023 7965 8910 9558 9735 11682 11705 14046 15930 17523 19470 21069 23410 23895 25751 29205 35046 35115 42138 47790 51502 52569 58410 63207 70230 77253 87615 105138 105345 126414 128755 138119 154506 175230 189621 210690 231759 257510 262845 276238 316035 379242 386265 414357 463518 525690 632070 690595 695277 772530 828714 948105 1158795 1243071 1381190 1390554 1519309 1896210 2071785 2085831 2317590 2486142 3038618 3476385 3729213 4143570 4171662 4557927 6215355 6952770 7458426 7596545 9115854 10429155 11187639 12430710 13673781 15193090 18646065 20858310 22375278 22789635 27347562 37292130 41021343 45579270 55938195 68368905 82042686 111876390 123064029 136737810 205106715 246128058 410213430 615320145 1230640290