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20046672 = 24321719431
BaseRepresentation
bin100110001111…
…0001101010000
31101201110212100
41030132031100
520112443142
61553400400
7332252052
oct114361520
941643770
1020046672
11103523a8
126869100
1341cb749
14293b8d2
151b5eb4c
hex131e350

20046672 has 120 divisors (see below), whose sum is σ = 62674560. Its totient is φ = 5944320.

The previous prime is 20046671. The next prime is 20046701. The reversal of 20046672 is 27664002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20046671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46297 + ... + 46727.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 220046672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20046672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31337280).

20046672 is an abundant number, since it is smaller than the sum of its proper divisors (42627888).

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

20046672 is a wasteful number, since it uses less digits than its factorization.

20046672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20046672 is about 4477.3510025460. The cubic root of 20046672 is about 271.6527431274.

The spelling of 20046672 in words is "twenty million, forty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 76 102 114 136 144 152 153 171 204 228 272 304 306 323 342 408 431 456 612 646 684 816 862 912 969 1224 1292 1293 1368 1724 1938 2448 2584 2586 2736 2907 3448 3876 3879 5168 5172 5814 6896 7327 7752 7758 8189 10344 11628 14654 15504 15516 16378 20688 21981 23256 24567 29308 31032 32756 43962 46512 49134 58616 62064 65512 65943 73701 87924 98268 117232 131024 131886 139213 147402 175848 196536 263772 278426 294804 351696 393072 417639 527544 556852 589608 835278 1055088 1113704 1179216 1252917 1670556 2227408 2505834 3341112 5011668 6682224 10023336 20046672