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101869056 = 29337369
BaseRepresentation
bin1100001001001…
…10011000000000
321002200111002000
412010212120000
5202034302211
614035224000
72344605222
oct604463000
9232614060
10101869056
1152558803
122a148000
1318149463
14d75a412
158e23656
hex6126600

101869056 has 80 divisors (see below), whose sum is σ = 301580400. Its totient is φ = 33951744.

The previous prime is 101869043. The next prime is 101869057. The reversal of 101869056 is 650968101.

It is a super-2 number, since 2×1018690562 = 20754609140662272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101869056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101869057) 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, 10140 + ... + 17508.

It is an arithmetic number, because the mean of its divisors is an integer number (3769755).

Almost surely, 2101869056 is an apocalyptic number.

101869056 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 101869056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150790200).

101869056 is an abundant number, since it is smaller than the sum of its proper divisors (199711344).

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

101869056 is an frugal number, since it uses more digits than its factorization.

101869056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7396 (or 7374 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 101869056 is about 10093.0201624687. The cubic root of 101869056 is about 467.0328481924.

The spelling of 101869056 in words is "one hundred one million, eight hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 7369 13824 14738 22107 29476 44214 58952 66321 88428 117904 132642 176856 198963 235808 265284 353712 397926 471616 530568 707424 795852 943232 1061136 1414848 1591704 1886464 2122272 2829696 3183408 3772928 4244544 5659392 6366816 8489088 11318784 12733632 16978176 25467264 33956352 50934528 101869056