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412102134 = 233171923627
BaseRepresentation
bin11000100100000…
…010110111110110
31001201102221212000
4120210002313312
51320444232014
6104520440130
713132544643
oct3044026766
91051387760
10412102134
111a1691484
12b6019046
13674bac22
143ca34dca
15262a4509
hex18902df6

412102134 has 64 divisors (see below), whose sum is σ = 1020729600. Its totient is φ = 122477184.

The previous prime is 412102099. The next prime is 412102139. The reversal of 412102134 is 431201214.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412102139) 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, 5629 + ... + 29255.

It is an arithmetic number, because the mean of its divisors is an integer number (15948900).

Almost surely, 2412102134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412102134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510364800).

412102134 is an abundant number, since it is smaller than the sum of its proper divisors (608627466).

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

412102134 is a wasteful number, since it uses less digits than its factorization.

412102134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23674 (or 23668 counting only the distinct ones).

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

The square root of 412102134 is about 20300.2988647951. The cubic root of 412102134 is about 744.1633681311.

Adding to 412102134 its reverse (431201214), we get a palindrome (843303348).

The spelling of 412102134 in words is "four hundred twelve million, one hundred two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 513 646 918 969 1026 1938 2907 5814 8721 17442 23627 47254 70881 141762 212643 401659 425286 448913 637929 803318 897826 1204977 1275858 1346739 2409954 2693478 3614931 4040217 7229862 7631521 8080434 10844793 12120651 15263042 21689586 22894563 24241302 45789126 68683689 137367378 206051067 412102134