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1429352960 = 295731283
BaseRepresentation
bin101010100110010…
…0011001000000000
310200121120122122112
41111030203020000
510411403243320
6353455554452
750264204540
oct12514431000
93617518575
101429352960
11673918042
1233a82ba28
1319a1880a9
14d7b93320
1585741ec5
hex55323200

1429352960 has 240 divisors, whose sum is σ = 4095862848. Its totient is φ = 468541440.

The previous prime is 1429352941. The next prime is 1429352983. The reversal of 1429352960 is 692539241.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17221079 + ... + 17221161.

Almost surely, 21429352960 is an apocalyptic number.

1429352960 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 1429352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047931424).

1429352960 is an abundant number, since it is smaller than the sum of its proper divisors (2666509888).

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

1429352960 is an frugal number, since it uses more digits than its factorization.

1429352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 1429352960 is about 37806.7845763165. The cubic root of 1429352960 is about 1126.4532225627.

The spelling of 1429352960 in words is "one billion, four hundred twenty-nine million, three hundred fifty-two thousand, nine hundred sixty".