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104231424 = 2931131199
BaseRepresentation
bin1100011011001…
…11001000000000
321021010111122010
412031213020000
5203140401144
614202012520
72403644463
oct615471000
9237114563
10104231424
1153921680
122aaa7140
13187957cb
14dbb32da
15923d5b9
hex6367200

104231424 has 160 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 30412800.

The previous prime is 104231401. The next prime is 104231429. The reversal of 104231424 is 424132401.

It is a self number, because there is not a number n which added to its sum of digits gives 104231424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104231429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523677 + ... + 523875.

It is an arithmetic number, because the mean of its divisors is an integer number (1964160).

Almost surely, 2104231424 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 104231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

104231424 is an abundant number, since it is smaller than the sum of its proper divisors (210034176).

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

104231424 is a wasteful number, since it uses less digits than its factorization.

104231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 104231424 is about 10209.3792171708. The cubic root of 104231424 is about 470.6154966168.

Adding to 104231424 its reverse (424132401), we get a palindrome (528363825).

The spelling of 104231424 in words is "one hundred four million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 199 248 256 264 341 352 372 384 398 496 512 528 597 682 704 744 768 796 992 1023 1056 1194 1364 1408 1488 1536 1592 1984 2046 2112 2189 2388 2728 2816 2976 3184 3968 4092 4224 4378 4776 5456 5632 5952 6169 6368 6567 7936 8184 8448 8756 9552 10912 11904 12338 12736 13134 15872 16368 16896 17512 18507 19104 21824 23808 24676 25472 26268 32736 35024 37014 38208 43648 47616 49352 50944 52536 65472 67859 70048 74028 76416 87296 98704 101888 105072 130944 135718 140096 148056 152832 174592 197408 203577 210144 261888 271436 280192 296112 305664 394816 407154 420288 523776 542872 560384 592224 789632 814308 840576 1085744 1120768 1184448 1579264 1628616 1681152 2171488 2368896 3158528 3257232 3362304 4342976 4737792 6514464 8685952 9475584 13028928 17371904 26057856 34743808 52115712 104231424