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10234016 = 251373337
BaseRepresentation
bin100111000010…
…100010100000
3201020221102122
4213002202200
510104442031
61003203412
7152662532
oct47024240
921227378
1010234016
11585aa71
123516568
132174240
141505852
15d7247b
hex9c28a0

10234016 has 48 divisors (see below), whose sum is σ = 22060584. Its totient is φ = 4644864.

The previous prime is 10233959. The next prime is 10234019. The reversal of 10234016 is 61043201.

It can be written as a sum of positive squares in 4 ways, for example, as 6250000 + 3984016 = 2500^2 + 1996^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10233985 and 10234003.

It is not an unprimeable number, because it can be changed into a prime (10234019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30200 + ... + 30536.

Almost surely, 210234016 is an apocalyptic number.

10234016 is a gapful number since it is divisible by the number (16) 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 10234016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030292).

10234016 is an abundant number, since it is smaller than the sum of its proper divisors (11826568).

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

10234016 is a wasteful number, since it uses less digits than its factorization.

10234016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10234016 is about 3199.0648633624. The cubic root of 10234016 is about 217.1111014108. Note that the first 4 decimals are identical.

Adding to 10234016 its reverse (61043201), we get a palindrome (71277217).

The spelling of 10234016 in words is "ten million, two hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 292 337 416 584 674 949 1168 1348 1898 2336 2696 3796 4381 5392 7592 8762 10784 15184 17524 24601 30368 35048 49202 70096 98404 140192 196808 319813 393616 639626 787232 1279252 2558504 5117008 10234016