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1429740500 = 2253192892
BaseRepresentation
bin101010100111000…
…0001101111010100
310200122022100020212
41111032001233110
510412003144000
6353512144552
750300410436
oct12516015724
93618270225
101429740500
11674062221
1233a998158
1319a2925c6
14d7c54656
15857bbc35
hex55381bd4

1429740500 has 108 divisors (see below), whose sum is σ = 3332992572. Its totient is φ = 535708800.

The previous prime is 1429740461. The next prime is 1429740503. The reversal of 1429740500 is 50479241.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 928786576 + 500953924 = 30476^2 + 22382^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429740503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16064456 + ... + 16064544.

Almost surely, 21429740500 is an apocalyptic number.

1429740500 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 1429740500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666496286).

1429740500 is an abundant number, since it is smaller than the sum of its proper divisors (1903252072).

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

1429740500 is an equidigital number, since it uses as much as digits as its factorization.

1429740500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1429740500 is about 37811.9094995214. The cubic root of 1429740500 is about 1126.5550183277. Note that the first 3 decimals are identical.

The spelling of 1429740500 in words is "one billion, four hundred twenty-nine million, seven hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 89 95 100 125 178 190 250 356 361 380 445 475 500 722 890 950 1444 1691 1780 1805 1900 2225 2375 3382 3610 4450 4750 6764 7220 7921 8455 8900 9025 9500 11125 15842 16910 18050 22250 31684 32129 33820 36100 39605 42275 44500 45125 64258 79210 84550 90250 128516 150499 158420 160645 169100 180500 198025 211375 300998 321290 396050 422750 601996 642580 752495 792100 803225 845500 990125 1504990 1606450 1980250 2859481 3009980 3212900 3762475 3960500 4016125 5718962 7524950 8032250 11437924 14297405 15049900 16064500 18812375 28594810 37624750 57189620 71487025 75249500 142974050 285948100 357435125 714870250 1429740500