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1429174460 = 225723894987
BaseRepresentation
bin101010100101111…
…0111100010111100
310200121020120210102
41111023313202330
510411332040320
6353452100232
750262532250
oct12513674274
93617216712
101429174460
11673805a1a
1233a764678
1319a124a7c
14d7b48260
1585709175
hex552f78bc

1429174460 has 96 divisors (see below), whose sum is σ = 3620090880. Its totient is φ = 463339008.

The previous prime is 1429174451. The next prime is 1429174463. The reversal of 1429174460 is 644719241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429174463) 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, 284087 + ... + 289073.

It is an arithmetic number, because the mean of its divisors is an integer number (37709280).

Almost surely, 21429174460 is an apocalyptic number.

1429174460 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 1429174460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810045440).

1429174460 is an abundant number, since it is smaller than the sum of its proper divisors (2190916420).

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

1429174460 is a wasteful number, since it uses less digits than its factorization.

1429174460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 1429174460 is about 37804.4238152098. The cubic root of 1429174460 is about 1126.4063294867.

The spelling of 1429174460 in words is "one billion, four hundred twenty-nine million, one hundred seventy-four thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 89 92 115 140 161 178 230 322 356 445 460 623 644 805 890 1246 1610 1780 2047 2492 3115 3220 4094 4987 6230 8188 9974 10235 12460 14329 19948 20470 24935 28658 34909 40940 49870 57316 69818 71645 99740 114701 139636 143290 174545 229402 286580 349090 443843 458804 573505 698180 802907 887686 1147010 1605814 1775372 2219215 2294020 3106901 3211628 4014535 4438430 6213802 8029070 8876860 10208389 12427604 15534505 16058140 20416778 31069010 40833556 51041945 62138020 71458723 102083890 142917446 204167780 285834892 357293615 714587230 1429174460