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10201604 = 2272233173
BaseRepresentation
bin100110111010…
…101000000100
3201012021222012
4212322220010
510102422404
61002353352
7152466200
oct46725004
921167865
1010201604
115838686
1234bb858
13216256a
1414d7b00
15d67a6e
hex9baa04

10201604 has 72 divisors (see below), whose sum is σ = 22675968. Its totient is φ = 3991680.

The previous prime is 10201589. The next prime is 10201643. The reversal of 10201604 is 40610201.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 139712 + ... + 139784.

It is an arithmetic number, because the mean of its divisors is an integer number (314944).

Almost surely, 210201604 is an apocalyptic number.

10201604 is a gapful number since it is divisible by the number (14) 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 10201604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11337984).

10201604 is an abundant number, since it is smaller than the sum of its proper divisors (12474364).

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

10201604 is a wasteful number, since it uses less digits than its factorization.

10201604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10201604 is about 3193.9949906035. The cubic root of 10201604 is about 216.8816559012.

Adding to 10201604 its reverse (40610201), we get a palindrome (50811805).

The spelling of 10201604 in words is "ten million, two hundred one thousand, six hundred four".

Divisors: 1 2 4 7 14 23 28 31 46 49 62 73 92 98 124 146 161 196 217 292 322 434 511 644 713 868 1022 1127 1426 1519 1679 2044 2254 2263 2852 3038 3358 3577 4508 4526 4991 6076 6716 7154 9052 9982 11753 14308 15841 19964 23506 31682 34937 47012 52049 63364 69874 82271 104098 110887 139748 164542 208196 221774 329084 364343 443548 728686 1457372 2550401 5100802 10201604