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1020412134 = 233710725229
BaseRepresentation
bin111100110100100…
…100000011100110
32122010002022022000
4330310210003212
54042211142014
6245130550130
734200234330
oct7464440346
92563068260
101020412134
11483aa5815
12245898346
13133536081
1499742450
155e8b4509
hex3cd240e6

1020412134 has 64 divisors (see below), whose sum is σ = 2615846400. Its totient is φ = 288810144.

The previous prime is 1020412123. The next prime is 1020412147. The reversal of 1020412134 is 4312140201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27832 + ... + 53060.

It is an arithmetic number, because the mean of its divisors is an integer number (40872600).

Almost surely, 21020412134 is an apocalyptic number.

1020412134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020412134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307923200).

1020412134 is an abundant number, since it is smaller than the sum of its proper divisors (1595434266).

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

1020412134 is a wasteful number, since it uses less digits than its factorization.

1020412134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25354 (or 25348 counting only the distinct ones).

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

The square root of 1020412134 is about 31943.8904017654. The cubic root of 1020412134 is about 1006.7582675930.

Adding to 1020412134 its reverse (4312140201), we get a palindrome (5332552335).

The spelling of 1020412134 in words is "one billion, twenty million, four hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 107 126 189 214 321 378 642 749 963 1498 1926 2247 2889 4494 5778 6741 13482 20223 25229 40446 50458 75687 151374 176603 227061 353206 454122 529809 681183 1059618 1362366 1589427 2699503 3178854 4768281 5399006 8098509 9536562 16197018 18896521 24295527 37793042 48591054 56689563 72886581 113379126 145773162 170068689 340137378 510206067 1020412134