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1291129230 = 235193189821
BaseRepresentation
bin100110011110101…
…0001000110001110
310022222111011100010
41030331101012032
510121012113410
6332041214050
743665263106
oct11475210616
93288434303
101291129230
11602899556
12300491326
131776503c1
14c3692206
157853bc20
hex4cf5118e

1291129230 has 128 divisors (see below), whose sum is σ = 3408998400. Its totient is φ = 311731200.

The previous prime is 1291129207. The next prime is 1291129241. The reversal of 1291129230 is 329211921.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572220 + ... + 1573040.

It is an arithmetic number, because the mean of its divisors is an integer number (26632800).

Almost surely, 21291129230 is an apocalyptic number.

1291129230 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 1291129230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704499200).

1291129230 is an abundant number, since it is smaller than the sum of its proper divisors (2117869170).

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

1291129230 is a wasteful number, since it uses less digits than its factorization.

1291129230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1291129230 is about 35932.2867349129. The cubic root of 1291129230 is about 1088.9047804420.

The spelling of 1291129230 in words is "one billion, two hundred ninety-one million, one hundred twenty-nine thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 89 93 95 114 155 178 186 190 267 285 310 445 465 534 570 589 821 890 930 1178 1335 1642 1691 1767 2463 2670 2759 2945 3382 3534 4105 4926 5073 5518 5890 8210 8277 8455 8835 10146 12315 13795 15599 16554 16910 17670 24630 25365 25451 27590 31198 41385 46797 50730 50902 52421 73069 76353 77995 82770 93594 104842 127255 146138 152706 155990 157263 219207 233985 254510 262105 314526 365345 381765 438414 467970 483569 524210 730690 763530 786315 967138 1096035 1388311 1450707 1572630 2192070 2265139 2417845 2776622 2901414 4164933 4530278 4835690 6795417 6941555 7253535 8329866 11325695 13590834 13883110 14507070 20824665 22651390 33977085 41649330 43037641 67954170 86075282 129112923 215188205 258225846 430376410 645564615 1291129230