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102146044 = 227111397263
BaseRepresentation
bin1100001011010…
…01111111111100
321010012120000211
412011221333330
5202122133134
614045202204
72350140610
oct605517774
9233176024
10102146044
1152727920
122a260364
1318215560
14d7cd340
158e7a764
hex6169ffc

102146044 has 96 divisors (see below), whose sum is σ = 243403776. Its totient is φ = 36218880.

The previous prime is 102146041. The next prime is 102146089. The reversal of 102146044 is 440641201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102146041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388257 + ... + 388519.

It is an arithmetic number, because the mean of its divisors is an integer number (2535456).

Almost surely, 2102146044 is an apocalyptic number.

102146044 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 102146044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121701888).

102146044 is an abundant number, since it is smaller than the sum of its proper divisors (141257732).

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

102146044 is a wasteful number, since it uses less digits than its factorization.

102146044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 102146044 is about 10106.7326075246. The cubic root of 102146044 is about 467.4557617781.

Adding to 102146044 its reverse (440641201), we get a palindrome (542787245).

The spelling of 102146044 in words is "one hundred two million, one hundred forty-six thousand, forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 97 143 154 182 194 263 286 308 364 388 526 572 679 1001 1052 1067 1261 1358 1841 2002 2134 2522 2716 2893 3419 3682 4004 4268 5044 5786 6838 7364 7469 8827 11572 13676 13871 14938 17654 20251 23933 25511 27742 29876 35308 37609 40502 47866 51022 55484 75218 81004 95732 97097 102044 150436 178577 194194 263263 280621 331643 357154 388388 526526 561242 663286 714308 1053052 1122484 1326572 1964347 2321501 3648073 3928694 4643002 7296146 7857388 9286004 14592292 25536511 51073022 102146044