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1429419180 = 2235722321139
BaseRepresentation
bin101010100110011…
…0011010010101100
310200121201000111010
41111030303102230
510411412403210
6353501225220
750264601600
oct12514632254
93617630433
101429419180
11673962872
1233a862210
1319a1ac287
14d7bad500
1585756920
hex553334ac

1429419180 has 144 divisors (see below), whose sum is σ = 4858479360. Its totient is φ = 312504192.

The previous prime is 1429419119. The next prime is 1429419239. The reversal of 1429419180 is 819149241.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57051 + ... + 78189.

It is an arithmetic number, because the mean of its divisors is an integer number (33739440).

Almost surely, 21429419180 is an apocalyptic number.

1429419180 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 1429419180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429239680).

1429419180 is an abundant number, since it is smaller than the sum of its proper divisors (3429060180).

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

1429419180 is a wasteful number, since it uses less digits than its factorization.

1429419180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21188 (or 21179 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 1429419180 is about 37807.6603349110. The cubic root of 1429419180 is about 1126.4706179816.

The spelling of 1429419180 in words is "one billion, four hundred twenty-nine million, four hundred nineteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 49 60 69 70 84 92 98 105 115 138 140 147 161 196 210 230 245 276 294 322 345 420 460 483 490 588 644 690 735 805 966 980 1127 1380 1470 1610 1932 2254 2415 2940 3220 3381 4508 4830 5635 6762 9660 11270 13524 16905 21139 22540 33810 42278 63417 67620 84556 105695 126834 147973 211390 253668 295946 317085 422780 443919 486197 591892 634170 739865 887838 972394 1035811 1268340 1458591 1479730 1775676 1944788 2071622 2219595 2430985 2917182 2959460 3107433 3403379 4143244 4439190 4861970 5179055 5834364 6214866 6806758 7292955 8878380 9723940 10210137 10358110 12429732 13613516 14585910 15537165 17016895 20420274 20716220 23823653 29171820 31074330 34033790 40840548 47647306 51050685 62148660 68067580 71470959 95294612 102101370 119118265 142941918 204202740 238236530 285883836 357354795 476473060 714709590 1429419180