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102436422 = 23113101127
BaseRepresentation
bin1100001101100…
…00111001000110
321010202022100120
412012300321012
5202210431142
614055322410
72352460314
oct606607106
9233668316
10102436422
1152906000
122a380406
13182b778a
14d8670b4
158ed67ec
hex61b0e46

102436422 has 64 divisors (see below), whose sum is σ = 229367808. Its totient is φ = 30492000.

The previous prime is 102436417. The next prime is 102436423. The reversal of 102436422 is 224634201.

It is a junction number, because it is equal to n+sod(n) for n = 102436392 and 102436401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102436423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806523 + ... + 806649.

It is an arithmetic number, because the mean of its divisors is an integer number (3583872).

Almost surely, 2102436422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102436422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114683904).

102436422 is an abundant number, since it is smaller than the sum of its proper divisors (126931386).

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

102436422 is a wasteful number, since it uses less digits than its factorization.

102436422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 102436422 is about 10121.0879849945. The cubic root of 102436422 is about 467.8982995463.

The spelling of 102436422 in words is "one hundred two million, four hundred thirty-six thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 121 127 202 242 254 303 363 381 606 726 762 1111 1331 1397 2222 2662 2794 3333 3993 4191 6666 7986 8382 12221 12827 15367 24442 25654 30734 36663 38481 46101 73326 76962 92202 134431 141097 169037 268862 282194 338074 403293 423291 507111 806586 846582 1014222 1552067 3104134 4656201 9312402 17072737 34145474 51218211 102436422