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101060928 = 2632175453
BaseRepresentation
bin1100000011000…
…01000101000000
321001011102112100
412001201011000
5201332422203
614010030400
72335001163
oct601410500
9231142470
10101060928
1152056631
1229a18400
1317c25687
14d5c9ada
158d13ea3
hex6061140

101060928 has 42 divisors (see below), whose sum is σ = 289674554. Its totient is φ = 33686784.

The previous prime is 101060917. The next prime is 101060929. The reversal of 101060928 is 829060101.

It can be written as a sum of positive squares in only one way, i.e., 100641024 + 419904 = 10032^2 + 648^2 .

It is a super-2 number, since 2×1010609282 = 20426622336442368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101060929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87151 + ... + 88302.

Almost surely, 2101060928 is an apocalyptic number.

101060928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101060928 is an abundant number, since it is smaller than the sum of its proper divisors (188613626).

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

101060928 is a wasteful number, since it uses less digits than its factorization.

101060928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175471 (or 175458 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101060928 is about 10052.9064454017. The cubic root of 101060928 is about 465.7945762717.

The spelling of 101060928 in words is "one hundred one million, sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 175453 350906 526359 701812 1052718 1403624 1579077 2105436 2807248 3158154 4210872 5614496 6316308 8421744 11228992 12632616 16843488 25265232 33686976 50530464 101060928