Search a number
-
+
16129470 = 235789863
BaseRepresentation
bin111101100001…
…110110111110
31010100110110210
4331201312332
513112120340
61333413250
7254045460
oct75416676
933313423
1016129470
119117345
12549a226
133459786
1421dc130
151639180
hexf61dbe

16129470 has 64 divisors (see below), whose sum is σ = 44789760. Its totient is φ = 3641088.

The previous prime is 16129411. The next prime is 16129471. The reversal of 16129470 is 7492161.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16129471) 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, 18259 + ... + 19121.

It is an arithmetic number, because the mean of its divisors is an integer number (699840).

Almost surely, 216129470 is an apocalyptic number.

16129470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16129470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22394880).

16129470 is an abundant number, since it is smaller than the sum of its proper divisors (28660290).

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

16129470 is a wasteful number, since it uses less digits than its factorization.

16129470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 16129470 is about 4016.1511425742. The cubic root of 16129470 is about 252.6620598045.

The spelling of 16129470 in words is "sixteen million, one hundred twenty-nine thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 89 105 178 210 267 445 534 623 863 890 1246 1335 1726 1869 2589 2670 3115 3738 4315 5178 6041 6230 8630 9345 12082 12945 18123 18690 25890 30205 36246 60410 76807 90615 153614 181230 230421 384035 460842 537649 768070 1075298 1152105 1612947 2304210 2688245 3225894 5376490 8064735 16129470