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102074676 = 223111315903
BaseRepresentation
bin1100001010110…
…00100100110100
321010001221010120
412011120210310
5202112342201
614043451540
72346422544
oct605304464
9233057116
10102074676
1152689240
122a226bb0
13181bbc22
14d7b1324
158e64536
hex6158934

102074676 has 48 divisors (see below), whose sum is σ = 261854208. Its totient is φ = 30690400.

The previous prime is 102074663. The next prime is 102074677. The reversal of 102074676 is 676470201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102074677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14341 + ... + 20243.

It is an arithmetic number, because the mean of its divisors is an integer number (5455296).

Almost surely, 2102074676 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 102074676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130927104).

102074676 is an abundant number, since it is smaller than the sum of its proper divisors (159779532).

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

102074676 is a wasteful number, since it uses less digits than its factorization.

102074676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6052 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 102074676 is about 10103.2012748435. The cubic root of 102074676 is about 467.3468681645.

The spelling of 102074676 in words is "one hundred two million, seventy-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2882 4323 5764 5903 8646 11806 17292 17709 23612 35418 64933 70836 129866 194799 259732 389598 773293 779196 1546586 2319879 3093172 4639758 8506223 9279516 17012446 25518669 34024892 51037338 102074676