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2137424 = 24197989
BaseRepresentation
bin1000001001110101010000
311000120222212
420021311100
51021344144
6113451252
724111362
oct10116520
94016885
102137424
11122a973
12870b28
1359ab63
143d8d32
152c349e
hex209d50

2137424 has 40 divisors (see below), whose sum is σ = 4464000. Its totient is φ = 988416.

The previous prime is 2137423. The next prime is 2137441. The reversal of 2137424 is 4247312.

2137424 = T192 + T193 + ... + T270.

It is a self number, because there is not a number n which added to its sum of digits gives 2137424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23972 + ... + 24060.

It is an arithmetic number, because the mean of its divisors is an integer number (111600).

22137424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232000).

2137424 is an abundant number, since it is smaller than the sum of its proper divisors (2326576).

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

2137424 is a wasteful number, since it uses less digits than its factorization.

2137424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 2137424 is about 1461.9931600387. The cubic root of 2137424 is about 128.8141465629.

The spelling of 2137424 in words is "two million, one hundred thirty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 79 89 152 158 178 304 316 356 632 712 1264 1424 1501 1691 3002 3382 6004 6764 7031 12008 13528 14062 24016 27056 28124 56248 112496 133589 267178 534356 1068712 2137424