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102621402 = 232131133881
BaseRepresentation
bin1100001110111…
…10000011011010
321011002201002200
412013132003122
5202232341102
614103311030
72354160522
oct607360332
9234081080
10102621402
1152a21a84
122a44b476
1318350a30
14d8b4682
15902151c
hex61de0da

102621402 has 48 divisors (see below), whose sum is σ = 241631208. Its totient is φ = 31288320.

The previous prime is 102621397. The next prime is 102621419. The reversal of 102621402 is 204126201.

102621402 is a `hidden beast` number, since 1 + 0 + 2 + 621 + 40 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44876601 + 57744801 = 6699^2 + 7599^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24502 + ... + 28382.

Almost surely, 2102621402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102621402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120815604).

102621402 is an abundant number, since it is smaller than the sum of its proper divisors (139009806).

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

102621402 is a wasteful number, since it uses less digits than its factorization.

102621402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102621402 is about 10130.2222088165. Note that the first 4 decimals coincide. The cubic root of 102621402 is about 468.1797742388.

Adding to 102621402 its reverse (204126201), we get a palindrome (306747603).

It can be divided in two parts, 10262 and 1402, that added together give a square (11664 = 1082).

The spelling of 102621402 in words is "one hundred two million, six hundred twenty-one thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2938 3881 4407 7762 8814 11643 13221 23286 26442 34929 50453 69858 100906 151359 302718 438553 454077 877106 908154 1315659 2631318 3946977 5701189 7893954 11402378 17103567 34207134 51310701 102621402