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102020088 = 23323421439
BaseRepresentation
bin1100001010010…
…11001111111000
321002222011020210
412011023033320
5202104120323
614042351120
72346104442
oct605131770
9232864223
10102020088
1152651225
122a1bb4a0
13181a0121
14d799492
158e53293
hex614b3f8

102020088 has 64 divisors (see below), whose sum is σ = 267379200. Its totient is φ = 32376960.

The previous prime is 102020059. The next prime is 102020089. The reversal of 102020088 is 880020201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232173 + ... + 232611.

It is an arithmetic number, because the mean of its divisors is an integer number (4177800).

Almost surely, 2102020088 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 102020088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133689600).

102020088 is an abundant number, since it is smaller than the sum of its proper divisors (165359112).

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

102020088 is a wasteful number, since it uses less digits than its factorization.

102020088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 102020088 is about 10100.4993935944. The cubic root of 102020088 is about 467.2635432861.

Adding to 102020088 its reverse (880020201), we get a palindrome (982040289).

The spelling of 102020088 in words is "one hundred two million, twenty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 421 439 552 842 878 1263 1317 1684 1756 2526 2634 3368 3512 5052 5268 9683 10097 10104 10536 19366 20194 29049 30291 38732 40388 58098 60582 77464 80776 116196 121164 184819 232392 242328 369638 554457 739276 1108914 1478552 2217828 4250837 4435656 8501674 12752511 17003348 25505022 34006696 51010044 102020088