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2134792 = 2311171427
BaseRepresentation
bin1000001001001100001000
311000110101101
420021030020
51021303132
6113431144
724100612
oct10111410
94013341
102134792
1112289a0
1286b4b4
135998ba
143d7db2
152c27e7
hex209308

2134792 has 32 divisors (see below), whose sum is σ = 4626720. Its totient is φ = 912640.

The previous prime is 2134763. The next prime is 2134801. The reversal of 2134792 is 2974312.

It is a self number, because there is not a number n which added to its sum of digits gives 2134792.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 783 + ... + 2209.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

22134792 is an apocalyptic number.

2134792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313360).

2134792 is an abundant number, since it is smaller than the sum of its proper divisors (2491928).

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

2134792 is a wasteful number, since it uses less digits than its factorization.

2134792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1457 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 2134792 is about 1461.0927417519. The cubic root of 2134792 is about 128.7612514125.

It can be divided in two parts, 2134 and 792, that added together give a triangular number (2926 = T76).

The spelling of 2134792 in words is "two million, one hundred thirty-four thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1427 1496 2854 5708 11416 15697 24259 31394 48518 62788 97036 125576 194072 266849 533698 1067396 2134792