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1429317940 = 2251947191419
BaseRepresentation
bin101010100110001…
…1010100100110100
310200121111212121111
41111030122210310
510411401133230
6353455124404
750264000461
oct12514324464
93617455544
101429317940
116738a37a6
1233a813704
1319a17517b
14d7b84668
158573692a
hex5531a934

1429317940 has 96 divisors (see below), whose sum is σ = 3251404800. Its totient is φ = 526078080.

The previous prime is 1429317931. The next prime is 1429317941. The reversal of 1429317940 is 497139241.

It is a junction number, because it is equal to n+sod(n) for n = 1429317893 and 1429317902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429317941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3411051 + ... + 3411469.

It is an arithmetic number, because the mean of its divisors is an integer number (33868800).

Almost surely, 21429317940 is an apocalyptic number.

1429317940 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 1429317940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625702400).

1429317940 is an abundant number, since it is smaller than the sum of its proper divisors (1822086860).

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

1429317940 is a wasteful number, since it uses less digits than its factorization.

1429317940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 1429317940 is about 37806.3214290944. The cubic root of 1429317940 is about 1126.4440228956. Note that the first 3 decimals are identical.

The spelling of 1429317940 in words is "one billion, four hundred twenty-nine million, three hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 191 235 380 382 419 470 764 838 893 940 955 1676 1786 1910 2095 3572 3629 3820 4190 4465 7258 7961 8380 8930 8977 14516 15922 17860 17954 18145 19693 31844 35908 36290 39386 39805 44885 72580 78772 79610 80029 89770 98465 159220 160058 170563 179540 196930 320116 341126 374167 393860 400145 682252 748334 800290 852815 1496668 1520551 1600580 1705630 1870835 3041102 3411260 3741670 3761363 6082204 7483340 7522726 7602755 15045452 15205510 18806815 30411020 37613630 71465897 75227260 142931794 285863588 357329485 714658970 1429317940