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2024014104 = 2332726914929
BaseRepresentation
bin111100010100100…
…0000000100011000
312020001112120101100
41320221000010120
513121121422404
6532501351400
7101104556520
oct17051000430
95201476340
102024014104
11949559832
12485a08560
132634348a8
14152b4a680
15bca57d39
hex78a40118

2024014104 has 96 divisors (see below), whose sum is σ = 6288516000. Its totient is φ = 576101376.

The previous prime is 2024014093. The next prime is 2024014123. The reversal of 2024014104 is 4014104202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 128112 + ... + 143040.

It is an arithmetic number, because the mean of its divisors is an integer number (65505375).

Almost surely, 22024014104 is an apocalyptic number.

2024014104 is a gapful number since it is divisible by the number (24) 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 2024014104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144258000).

2024014104 is an abundant number, since it is smaller than the sum of its proper divisors (4264501896).

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

2024014104 is a wasteful number, since it uses less digits than its factorization.

2024014104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15217 (or 15210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2024014104 is about 44989.0442663544. The cubic root of 2024014104 is about 1264.9436468723.

Adding to 2024014104 its reverse (4014104202), we get a palindrome (6038118306).

The spelling of 2024014104 in words is "two billion, twenty-four million, fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 269 504 538 807 1076 1614 1883 2152 2421 3228 3766 4842 5649 6456 7532 9684 11298 14929 15064 16947 19368 22596 29858 33894 44787 45192 59716 67788 89574 104503 119432 134361 135576 179148 209006 268722 313509 358296 418012 537444 627018 836024 940527 1074888 1254036 1881054 2508072 3762108 4015901 7524216 8031802 12047703 16063604 24095406 28111307 32127208 36143109 48190812 56222614 72286218 84333921 96381624 112445228 144572436 168667842 224890456 253001763 289144872 337335684 506003526 674671368 1012007052 2024014104