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102041040 = 24352271873
BaseRepresentation
bin1100001010100…
…00010111010000
321010000012222210
412011100113100
5202110303130
614043032120
72346222513
oct605202720
9233005883
10102041040
1152665a42
122a20b640
13181a981a
14d7a2d7a
158e595b0
hex61505d0

102041040 has 80 divisors (see below), whose sum is σ = 317890368. Its totient is φ = 27076608.

The previous prime is 102041029. The next prime is 102041131. The reversal of 102041040 is 40140201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 53544 + ... + 55416.

Almost surely, 2102041040 is an apocalyptic number.

102041040 is a gapful number since it is divisible by the number (10) 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 102041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158945184).

102041040 is an abundant number, since it is smaller than the sum of its proper divisors (215849328).

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

102041040 is a wasteful number, since it uses less digits than its factorization.

102041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102041040 is about 10101.5365167879. The cubic root of 102041040 is about 467.2955286066.

Adding to 102041040 its reverse (40140201), we get a palindrome (142181241).

The spelling of 102041040 in words is "one hundred two million, forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 681 908 1135 1362 1816 1873 2270 2724 3405 3632 3746 4540 5448 5619 6810 7492 9080 9365 10896 11238 13620 14984 18160 18730 22476 27240 28095 29968 37460 44952 54480 56190 74920 89904 112380 149840 224760 425171 449520 850342 1275513 1700684 2125855 2551026 3401368 4251710 5102052 6377565 6802736 8503420 10204104 12755130 17006840 20408208 25510260 34013680 51020520 102041040