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10325616 = 243779389
BaseRepresentation
bin100111011000…
…111001110000
3201102121002020
4213120321300
510120404431
61005151440
7153523560
oct47307160
921377066
1010325616
115912874
12355b580
1321a6b42
14152ada0
15d8e696
hex9d8e70

10325616 has 80 divisors (see below), whose sum is σ = 30950400. Its totient is φ = 2905344.

The previous prime is 10325611. The next prime is 10325617. The reversal of 10325616 is 61652301.

10325616 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (10325611) 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, 26350 + ... + 26738.

It is an arithmetic number, because the mean of its divisors is an integer number (386880).

Almost surely, 210325616 is an apocalyptic number.

10325616 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 10325616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15475200).

10325616 is an abundant number, since it is smaller than the sum of its proper divisors (20624784).

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

10325616 is a wasteful number, since it uses less digits than its factorization.

10325616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 10325616 is about 3213.3496541771. The cubic root of 10325616 is about 217.7569324611.

Adding to 10325616 its reverse (61652301), we get a palindrome (71977917).

The spelling of 10325616 in words is "ten million, three hundred twenty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 389 474 553 632 778 948 1106 1167 1264 1556 1659 1896 2212 2334 2723 3112 3318 3792 4424 4668 5446 6224 6636 8169 8848 9336 10892 13272 16338 18672 21784 26544 30731 32676 43568 61462 65352 92193 122924 130704 184386 215117 245848 368772 430234 491696 645351 737544 860468 1290702 1475088 1720936 2581404 3441872 5162808 10325616