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10104952 = 231131373
BaseRepresentation
bin100110100011…
…000001111000
3201000101101111
4212203001320
510041324302
61000330104
7151614334
oct46430170
921011344
1010104952
115782000
123473934
13212a580
1414b07c4
15d490d7
hex9a3078

10104952 has 64 divisors (see below), whose sum is σ = 22750560. Its totient is φ = 4181760.

The previous prime is 10104929. The next prime is 10104961. The reversal of 10104952 is 25940101.

It is a super-2 number, since 2×101049522 = 204220109844608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138388 + ... + 138460.

Almost surely, 210104952 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 10104952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11375280).

10104952 is an abundant number, since it is smaller than the sum of its proper divisors (12645608).

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

10104952 is a wasteful number, since it uses less digits than its factorization.

10104952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 10104952 is about 3178.8287151088. The cubic root of 10104952 is about 216.1945549324.

It can be divided in two parts, 101049 and 52, that added together give a palindrome (101101).

The spelling of 10104952 in words is "ten million, one hundred four thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 73 88 104 121 143 146 242 286 292 484 572 584 803 949 968 1144 1331 1573 1606 1898 2662 3146 3212 3796 5324 6292 6424 7592 8833 10439 10648 12584 17303 17666 20878 34606 35332 41756 69212 70664 83512 97163 114829 138424 194326 229658 388652 459316 777304 918632 1263119 2526238 5052476 10104952